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Finding the Third Proportional to 48,609 and 79,374

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Solution

The third proportional to 48,609 and 79,374 is: 129,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,609 : 79,374 = 79,374 : x
  2. Step 2: Convert to fraction form
    48,609/79,374 = 79,374/x
  3. Step 3: Cross multiply
    48,609x = 79,374 × 79,374
  4. Step 4: Simplify right side
    48,609x = 6,300,231,876
  5. Step 5: Solve for x
    x = 6,300,231,876/48,609
  6. Step 6: Final answer
    x = 129,610.40

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.