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Finding the Third Proportional to 79,288 and 107,996

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Solution

The third proportional to 79,288 and 107,996 is: 147,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,288 : 107,996 = 107,996 : x
  2. Step 2: Convert to fraction form
    79,288/107,996 = 107,996/x
  3. Step 3: Cross multiply
    79,288x = 107,996 × 107,996
  4. Step 4: Simplify right side
    79,288x = 11,663,136,016
  5. Step 5: Solve for x
    x = 11,663,136,016/79,288
  6. Step 6: Final answer
    x = 147,098.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.