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Finding the Third Proportional to 87,416 and 181,050

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Solution

The third proportional to 87,416 and 181,050 is: 374,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,416 : 181,050 = 181,050 : x
  2. Step 2: Convert to fraction form
    87,416/181,050 = 181,050/x
  3. Step 3: Cross multiply
    87,416x = 181,050 × 181,050
  4. Step 4: Simplify right side
    87,416x = 32,779,102,500
  5. Step 5: Solve for x
    x = 32,779,102,500/87,416
  6. Step 6: Final answer
    x = 374,978.29

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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.