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Finding the Third Proportional to 87,609 and 181,437

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Solution

The third proportional to 87,609 and 181,437 is: 375,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,609 : 181,437 = 181,437 : x
  2. Step 2: Convert to fraction form
    87,609/181,437 = 181,437/x
  3. Step 3: Cross multiply
    87,609x = 181,437 × 181,437
  4. Step 4: Simplify right side
    87,609x = 32,919,384,969
  5. Step 5: Solve for x
    x = 32,919,384,969/87,609
  6. Step 6: Final answer
    x = 375,753.46

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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.