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Finding the Third Proportional to 79,496 and 107,580

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Solution

The third proportional to 79,496 and 107,580 is: 145,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,496 : 107,580 = 107,580 : x
  2. Step 2: Convert to fraction form
    79,496/107,580 = 107,580/x
  3. Step 3: Cross multiply
    79,496x = 107,580 × 107,580
  4. Step 4: Simplify right side
    79,496x = 11,573,456,400
  5. Step 5: Solve for x
    x = 11,573,456,400/79,496
  6. Step 6: Final answer
    x = 145,585.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.