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Finding the Third Proportional to 60,306 and 132,645

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Solution

The third proportional to 60,306 and 132,645 is: 291,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,306 : 132,645 = 132,645 : x
  2. Step 2: Convert to fraction form
    60,306/132,645 = 132,645/x
  3. Step 3: Cross multiply
    60,306x = 132,645 × 132,645
  4. Step 4: Simplify right side
    60,306x = 17,594,696,025
  5. Step 5: Solve for x
    x = 17,594,696,025/60,306
  6. Step 6: Final answer
    x = 291,756.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.