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Finding the Third Proportional to 44,470 and 79,069

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Solution

The third proportional to 44,470 and 79,069 is: 140,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,470 : 79,069 = 79,069 : x
  2. Step 2: Convert to fraction form
    44,470/79,069 = 79,069/x
  3. Step 3: Cross multiply
    44,470x = 79,069 × 79,069
  4. Step 4: Simplify right side
    44,470x = 6,251,906,761
  5. Step 5: Solve for x
    x = 6,251,906,761/44,470
  6. Step 6: Final answer
    x = 140,587.06

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.