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Finding the Third Proportional to 99,200 and 138,744

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Solution

The third proportional to 99,200 and 138,744 is: 194,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,200 : 138,744 = 138,744 : x
  2. Step 2: Convert to fraction form
    99,200/138,744 = 138,744/x
  3. Step 3: Cross multiply
    99,200x = 138,744 × 138,744
  4. Step 4: Simplify right side
    99,200x = 19,249,897,536
  5. Step 5: Solve for x
    x = 19,249,897,536/99,200
  6. Step 6: Final answer
    x = 194,051.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.