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Finding the Third Proportional to 62,564.91 and 134,972.58

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Solution

The third proportional to 62,564.91 and 134,972.58 is: 291,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,564.91 : 134,972.58 = 134,972.58 : x
  2. Step 2: Convert to fraction form
    62,564.91/134,972.58 = 134,972.58/x
  3. Step 3: Cross multiply
    62,564.91x = 134,972.58 × 134,972.58
  4. Step 4: Simplify right side
    62,564.91x = 18,217,596,845.71
  5. Step 5: Solve for x
    x = 18,217,596,845.71/62,564.91
  6. Step 6: Final answer
    x = 291,179.16

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Why These Related Problems?

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