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Finding the Third Proportional to 61,753.22 and 132,868.69

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Solution

The third proportional to 61,753.22 and 132,868.69 is: 285,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,753.22 : 132,868.69 = 132,868.69 : x
  2. Step 2: Convert to fraction form
    61,753.22/132,868.69 = 132,868.69/x
  3. Step 3: Cross multiply
    61,753.22x = 132,868.69 × 132,868.69
  4. Step 4: Simplify right side
    61,753.22x = 17,654,088,117.97
  5. Step 5: Solve for x
    x = 17,654,088,117.97/61,753.22
  6. Step 6: Final answer
    x = 285,881.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.