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Finding the Third Proportional to 99,448 and 150,132

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Solution

The third proportional to 99,448 and 150,132 is: 226,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,448 : 150,132 = 150,132 : x
  2. Step 2: Convert to fraction form
    99,448/150,132 = 150,132/x
  3. Step 3: Cross multiply
    99,448x = 150,132 × 150,132
  4. Step 4: Simplify right side
    99,448x = 22,539,617,424
  5. Step 5: Solve for x
    x = 22,539,617,424/99,448
  6. Step 6: Final answer
    x = 226,647.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.