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Finding the Third Proportional to 62,016 and 134,535

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Solution

The third proportional to 62,016 and 134,535 is: 291,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,016 : 134,535 = 134,535 : x
  2. Step 2: Convert to fraction form
    62,016/134,535 = 134,535/x
  3. Step 3: Cross multiply
    62,016x = 134,535 × 134,535
  4. Step 4: Simplify right side
    62,016x = 18,099,666,225
  5. Step 5: Solve for x
    x = 18,099,666,225/62,016
  6. Step 6: Final answer
    x = 291,854.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.