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Finding the Third Proportional to 57,452 and 121,860

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Solution

The third proportional to 57,452 and 121,860 is: 258,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,452 : 121,860 = 121,860 : x
  2. Step 2: Convert to fraction form
    57,452/121,860 = 121,860/x
  3. Step 3: Cross multiply
    57,452x = 121,860 × 121,860
  4. Step 4: Simplify right side
    57,452x = 14,849,859,600
  5. Step 5: Solve for x
    x = 14,849,859,600/57,452
  6. Step 6: Final answer
    x = 258,474.20

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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.