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Finding the Third Proportional to 61,284.94 and 132,251.91

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Solution

The third proportional to 61,284.94 and 132,251.91 is: 285,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,284.94 : 132,251.91 = 132,251.91 : x
  2. Step 2: Convert to fraction form
    61,284.94/132,251.91 = 132,251.91/x
  3. Step 3: Cross multiply
    61,284.94x = 132,251.91 × 132,251.91
  4. Step 4: Simplify right side
    61,284.94x = 17,490,566,706.76
  5. Step 5: Solve for x
    x = 17,490,566,706.76/61,284.94
  6. Step 6: Final answer
    x = 285,397.48

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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.