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Finding the Third Proportional to 91,996 and 138,449

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Solution

The third proportional to 91,996 and 138,449 is: 208,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,996 : 138,449 = 138,449 : x
  2. Step 2: Convert to fraction form
    91,996/138,449 = 138,449/x
  3. Step 3: Cross multiply
    91,996x = 138,449 × 138,449
  4. Step 4: Simplify right side
    91,996x = 19,168,125,601
  5. Step 5: Solve for x
    x = 19,168,125,601/91,996
  6. Step 6: Final answer
    x = 208,358.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.