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Finding the Third Proportional to 75,076 and 161,744

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Solution

The third proportional to 75,076 and 161,744 is: 348,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,076 : 161,744 = 161,744 : x
  2. Step 2: Convert to fraction form
    75,076/161,744 = 161,744/x
  3. Step 3: Cross multiply
    75,076x = 161,744 × 161,744
  4. Step 4: Simplify right side
    75,076x = 26,161,121,536
  5. Step 5: Solve for x
    x = 26,161,121,536/75,076
  6. Step 6: Final answer
    x = 348,461.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.