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Finding the Third Proportional to 61,372.69 and 133,680.38

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Solution

The third proportional to 61,372.69 and 133,680.38 is: 291,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,372.69 : 133,680.38 = 133,680.38 : x
  2. Step 2: Convert to fraction form
    61,372.69/133,680.38 = 133,680.38/x
  3. Step 3: Cross multiply
    61,372.69x = 133,680.38 × 133,680.38
  4. Step 4: Simplify right side
    61,372.69x = 17,870,442,660.14
  5. Step 5: Solve for x
    x = 17,870,442,660.14/61,372.69
  6. Step 6: Final answer
    x = 291,179.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.