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Finding the Third Proportional to 72,264.50 and 102,709.25

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Solution

The third proportional to 72,264.50 and 102,709.25 is: 145,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,264.50 : 102,709.25 = 102,709.25 : x
  2. Step 2: Convert to fraction form
    72,264.50/102,709.25 = 102,709.25/x
  3. Step 3: Cross multiply
    72,264.50x = 102,709.25 × 102,709.25
  4. Step 4: Simplify right side
    72,264.50x = 10,549,190,035.56
  5. Step 5: Solve for x
    x = 10,549,190,035.56/72,264.50
  6. Step 6: Final answer
    x = 145,980.25

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.