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Finding the Third Proportional to 57,492 and 121,941

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Solution

The third proportional to 57,492 and 121,941 is: 258,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,492 : 121,941 = 121,941 : x
  2. Step 2: Convert to fraction form
    57,492/121,941 = 121,941/x
  3. Step 3: Cross multiply
    57,492x = 121,941 × 121,941
  4. Step 4: Simplify right side
    57,492x = 14,869,607,481
  5. Step 5: Solve for x
    x = 14,869,607,481/57,492
  6. Step 6: Final answer
    x = 258,637.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.