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Finding the Third Proportional to 72,020.50 and 114,014.75

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Solution

The third proportional to 72,020.50 and 114,014.75 is: 180,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,020.50 : 114,014.75 = 114,014.75 : x
  2. Step 2: Convert to fraction form
    72,020.50/114,014.75 = 114,014.75/x
  3. Step 3: Cross multiply
    72,020.50x = 114,014.75 × 114,014.75
  4. Step 4: Simplify right side
    72,020.50x = 12,999,363,217.56
  5. Step 5: Solve for x
    x = 12,999,363,217.56/72,020.50
  6. Step 6: Final answer
    x = 180,495.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.