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Finding the Third Proportional to 72,805.50 and 114,230.50

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Solution

The third proportional to 72,805.50 and 114,230.50 is: 179,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.50 : 114,230.50 = 114,230.50 : x
  2. Step 2: Convert to fraction form
    72,805.50/114,230.50 = 114,230.50/x
  3. Step 3: Cross multiply
    72,805.50x = 114,230.50 × 114,230.50
  4. Step 4: Simplify right side
    72,805.50x = 13,048,607,130.25
  5. Step 5: Solve for x
    x = 13,048,607,130.25/72,805.50
  6. Step 6: Final answer
    x = 179,225.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.