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Finding the Third Proportional to 58,654.13 and 119,380.50

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Solution

The third proportional to 58,654.13 and 119,380.50 is: 242,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,654.13 : 119,380.50 = 119,380.50 : x
  2. Step 2: Convert to fraction form
    58,654.13/119,380.50 = 119,380.50/x
  3. Step 3: Cross multiply
    58,654.13x = 119,380.50 × 119,380.50
  4. Step 4: Simplify right side
    58,654.13x = 14,251,703,780.25
  5. Step 5: Solve for x
    x = 14,251,703,780.25/58,654.13
  6. Step 6: Final answer
    x = 242,978.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.