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Finding the Third Proportional to 58,132.69 and 119,902.78

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Solution

The third proportional to 58,132.69 and 119,902.78 is: 247,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,132.69 : 119,902.78 = 119,902.78 : x
  2. Step 2: Convert to fraction form
    58,132.69/119,902.78 = 119,902.78/x
  3. Step 3: Cross multiply
    58,132.69x = 119,902.78 × 119,902.78
  4. Step 4: Simplify right side
    58,132.69x = 14,376,676,951.49
  5. Step 5: Solve for x
    x = 14,376,676,951.49/58,132.69
  6. Step 6: Final answer
    x = 247,307.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.