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Finding the Third Proportional to 100,744 and 151,132

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Solution

The third proportional to 100,744 and 151,132 is: 226,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,744 : 151,132 = 151,132 : x
  2. Step 2: Convert to fraction form
    100,744/151,132 = 151,132/x
  3. Step 3: Cross multiply
    100,744x = 151,132 × 151,132
  4. Step 4: Simplify right side
    100,744x = 22,840,881,424
  5. Step 5: Solve for x
    x = 22,840,881,424/100,744
  6. Step 6: Final answer
    x = 226,722.00

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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.