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Finding the Third Proportional to 124,864 and 161,719

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Solution

The third proportional to 124,864 and 161,719 is: 209,452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,864 : 161,719 = 161,719 : x
  2. Step 2: Convert to fraction form
    124,864/161,719 = 161,719/x
  3. Step 3: Cross multiply
    124,864x = 161,719 × 161,719
  4. Step 4: Simplify right side
    124,864x = 26,153,034,961
  5. Step 5: Solve for x
    x = 26,153,034,961/124,864
  6. Step 6: Final answer
    x = 209,452.16

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.