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Finding the Third Proportional to 57,746 and 124,708

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Solution

The third proportional to 57,746 and 124,708 is: 269,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,746 : 124,708 = 124,708 : x
  2. Step 2: Convert to fraction form
    57,746/124,708 = 124,708/x
  3. Step 3: Cross multiply
    57,746x = 124,708 × 124,708
  4. Step 4: Simplify right side
    57,746x = 15,552,085,264
  5. Step 5: Solve for x
    x = 15,552,085,264/57,746
  6. Step 6: Final answer
    x = 269,318.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.