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Finding the Third Proportional to 62,564.25 and 134,970.75

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Solution

The third proportional to 62,564.25 and 134,970.75 is: 291,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,564.25 : 134,970.75 = 134,970.75 : x
  2. Step 2: Convert to fraction form
    62,564.25/134,970.75 = 134,970.75/x
  3. Step 3: Cross multiply
    62,564.25x = 134,970.75 × 134,970.75
  4. Step 4: Simplify right side
    62,564.25x = 18,217,103,355.56
  5. Step 5: Solve for x
    x = 18,217,103,355.56/62,564.25
  6. Step 6: Final answer
    x = 291,174.33

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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.