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Finding the Third Proportional to 87,714 and 136,065

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Solution

The third proportional to 87,714 and 136,065 is: 211,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,714 : 136,065 = 136,065 : x
  2. Step 2: Convert to fraction form
    87,714/136,065 = 136,065/x
  3. Step 3: Cross multiply
    87,714x = 136,065 × 136,065
  4. Step 4: Simplify right side
    87,714x = 18,513,684,225
  5. Step 5: Solve for x
    x = 18,513,684,225/87,714
  6. Step 6: Final answer
    x = 211,068.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.