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Finding the Third Proportional to 76,781 and 118,452

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Solution

The third proportional to 76,781 and 118,452 is: 182,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,781 : 118,452 = 118,452 : x
  2. Step 2: Convert to fraction form
    76,781/118,452 = 118,452/x
  3. Step 3: Cross multiply
    76,781x = 118,452 × 118,452
  4. Step 4: Simplify right side
    76,781x = 14,030,876,304
  5. Step 5: Solve for x
    x = 14,030,876,304/76,781
  6. Step 6: Final answer
    x = 182,738.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.