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Finding the Third Proportional to 62,469 and 134,917.50

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Solution

The third proportional to 62,469 and 134,917.50 is: 291,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,469 : 134,917.50 = 134,917.50 : x
  2. Step 2: Convert to fraction form
    62,469/134,917.50 = 134,917.50/x
  3. Step 3: Cross multiply
    62,469x = 134,917.50 × 134,917.50
  4. Step 4: Simplify right side
    62,469x = 18,202,731,806.25
  5. Step 5: Solve for x
    x = 18,202,731,806.25/62,469
  6. Step 6: Final answer
    x = 291,388.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.