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Finding the Third Proportional to 55,654.59 and 119,966.06

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Solution

The third proportional to 55,654.59 and 119,966.06 is: 258,592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,654.59 : 119,966.06 = 119,966.06 : x
  2. Step 2: Convert to fraction form
    55,654.59/119,966.06 = 119,966.06/x
  3. Step 3: Cross multiply
    55,654.59x = 119,966.06 × 119,966.06
  4. Step 4: Simplify right side
    55,654.59x = 14,391,856,151.75
  5. Step 5: Solve for x
    x = 14,391,856,151.75/55,654.59
  6. Step 6: Final answer
    x = 258,592.42

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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.