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Finding the Third Proportional to 60,694 and 132,506

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Solution

The third proportional to 60,694 and 132,506 is: 289,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,694 : 132,506 = 132,506 : x
  2. Step 2: Convert to fraction form
    60,694/132,506 = 132,506/x
  3. Step 3: Cross multiply
    60,694x = 132,506 × 132,506
  4. Step 4: Simplify right side
    60,694x = 17,557,840,036
  5. Step 5: Solve for x
    x = 17,557,840,036/60,694
  6. Step 6: Final answer
    x = 289,284.61

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Why These Related Problems?

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