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Finding the Third Proportional to 61,762 and 120,452

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Solution

The third proportional to 61,762 and 120,452 is: 234,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,762 : 120,452 = 120,452 : x
  2. Step 2: Convert to fraction form
    61,762/120,452 = 120,452/x
  3. Step 3: Cross multiply
    61,762x = 120,452 × 120,452
  4. Step 4: Simplify right side
    61,762x = 14,508,684,304
  5. Step 5: Solve for x
    x = 14,508,684,304/61,762
  6. Step 6: Final answer
    x = 234,912.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.