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Finding the Third Proportional to 60,429 and 132,822

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Solution

The third proportional to 60,429 and 132,822 is: 291,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,429 : 132,822 = 132,822 : x
  2. Step 2: Convert to fraction form
    60,429/132,822 = 132,822/x
  3. Step 3: Cross multiply
    60,429x = 132,822 × 132,822
  4. Step 4: Simplify right side
    60,429x = 17,641,683,684
  5. Step 5: Solve for x
    x = 17,641,683,684/60,429
  6. Step 6: Final answer
    x = 291,940.69

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