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Finding the Third Proportional to 124,626.38 and 271,809

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Solution

The third proportional to 124,626.38 and 271,809 is: 592,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,626.38 : 271,809 = 271,809 : x
  2. Step 2: Convert to fraction form
    124,626.38/271,809 = 271,809/x
  3. Step 3: Cross multiply
    124,626.38x = 271,809 × 271,809
  4. Step 4: Simplify right side
    124,626.38x = 73,880,132,481
  5. Step 5: Solve for x
    x = 73,880,132,481/124,626.38
  6. Step 6: Final answer
    x = 592,812.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.