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Finding the Third Proportional to 61,681.88 and 132,966.75

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Solution

The third proportional to 61,681.88 and 132,966.75 is: 286,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,681.88 : 132,966.75 = 132,966.75 : x
  2. Step 2: Convert to fraction form
    61,681.88/132,966.75 = 132,966.75/x
  3. Step 3: Cross multiply
    61,681.88x = 132,966.75 × 132,966.75
  4. Step 4: Simplify right side
    61,681.88x = 17,680,156,605.56
  5. Step 5: Solve for x
    x = 17,680,156,605.56/61,681.88
  6. Step 6: Final answer
    x = 286,634.55

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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.