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Finding the Third Proportional to 52,551 and 79,371

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Solution

The third proportional to 52,551 and 79,371 is: 119,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,551 : 79,371 = 79,371 : x
  2. Step 2: Convert to fraction form
    52,551/79,371 = 79,371/x
  3. Step 3: Cross multiply
    52,551x = 79,371 × 79,371
  4. Step 4: Simplify right side
    52,551x = 6,299,755,641
  5. Step 5: Solve for x
    x = 6,299,755,641/52,551
  6. Step 6: Final answer
    x = 119,878.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.