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Finding the Third Proportional to 39,972 and 88,281

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Solution

The third proportional to 39,972 and 88,281 is: 194,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,972 : 88,281 = 88,281 : x
  2. Step 2: Convert to fraction form
    39,972/88,281 = 88,281/x
  3. Step 3: Cross multiply
    39,972x = 88,281 × 88,281
  4. Step 4: Simplify right side
    39,972x = 7,793,534,961
  5. Step 5: Solve for x
    x = 7,793,534,961/39,972
  6. Step 6: Final answer
    x = 194,974.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.