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Finding the Third Proportional to 61,660.69 and 133,156.69

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Solution

The third proportional to 61,660.69 and 133,156.69 is: 287,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,660.69 : 133,156.69 = 133,156.69 : x
  2. Step 2: Convert to fraction form
    61,660.69/133,156.69 = 133,156.69/x
  3. Step 3: Cross multiply
    61,660.69x = 133,156.69 × 133,156.69
  4. Step 4: Simplify right side
    61,660.69x = 17,730,703,425.97
  5. Step 5: Solve for x
    x = 17,730,703,425.97/61,660.69
  6. Step 6: Final answer
    x = 287,552.80

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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.