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Finding the Third Proportional to 87,769 and 132,429

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Solution

The third proportional to 87,769 and 132,429 is: 199,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,769 : 132,429 = 132,429 : x
  2. Step 2: Convert to fraction form
    87,769/132,429 = 132,429/x
  3. Step 3: Cross multiply
    87,769x = 132,429 × 132,429
  4. Step 4: Simplify right side
    87,769x = 17,537,440,041
  5. Step 5: Solve for x
    x = 17,537,440,041/87,769
  6. Step 6: Final answer
    x = 199,813.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.