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Finding the Third Proportional to 57,389 and 124,943

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Solution

The third proportional to 57,389 and 124,943 is: 272,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,389 : 124,943 = 124,943 : x
  2. Step 2: Convert to fraction form
    57,389/124,943 = 124,943/x
  3. Step 3: Cross multiply
    57,389x = 124,943 × 124,943
  4. Step 4: Simplify right side
    57,389x = 15,610,753,249
  5. Step 5: Solve for x
    x = 15,610,753,249/57,389
  6. Step 6: Final answer
    x = 272,016.47

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Why These Related Problems?

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