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Finding the Third Proportional to 87,416 and 181,051

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Solution

The third proportional to 87,416 and 181,051 is: 374,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,416 : 181,051 = 181,051 : x
  2. Step 2: Convert to fraction form
    87,416/181,051 = 181,051/x
  3. Step 3: Cross multiply
    87,416x = 181,051 × 181,051
  4. Step 4: Simplify right side
    87,416x = 32,779,464,601
  5. Step 5: Solve for x
    x = 32,779,464,601/87,416
  6. Step 6: Final answer
    x = 374,982.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.