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Finding the Third Proportional to 71,631 and 161,730

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Solution

The third proportional to 71,631 and 161,730 is: 365,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,631 : 161,730 = 161,730 : x
  2. Step 2: Convert to fraction form
    71,631/161,730 = 161,730/x
  3. Step 3: Cross multiply
    71,631x = 161,730 × 161,730
  4. Step 4: Simplify right side
    71,631x = 26,156,592,900
  5. Step 5: Solve for x
    x = 26,156,592,900/71,631
  6. Step 6: Final answer
    x = 365,157.44

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.