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Finding the Third Proportional to 62,836.50 and 136,581

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Solution

The third proportional to 62,836.50 and 136,581 is: 296,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,836.50 : 136,581 = 136,581 : x
  2. Step 2: Convert to fraction form
    62,836.50/136,581 = 136,581/x
  3. Step 3: Cross multiply
    62,836.50x = 136,581 × 136,581
  4. Step 4: Simplify right side
    62,836.50x = 18,654,369,561
  5. Step 5: Solve for x
    x = 18,654,369,561/62,836.50
  6. Step 6: Final answer
    x = 296,871.56

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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.