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Finding the Third Proportional to 60,777 and 132,651

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Solution

The third proportional to 60,777 and 132,651 is: 289,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,777 : 132,651 = 132,651 : x
  2. Step 2: Convert to fraction form
    60,777/132,651 = 132,651/x
  3. Step 3: Cross multiply
    60,777x = 132,651 × 132,651
  4. Step 4: Simplify right side
    60,777x = 17,596,287,801
  5. Step 5: Solve for x
    x = 17,596,287,801/60,777
  6. Step 6: Final answer
    x = 289,522.15

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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.