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Finding the Third Proportional to 99,446 and 150,129

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Solution

The third proportional to 99,446 and 150,129 is: 226,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,446 : 150,129 = 150,129 : x
  2. Step 2: Convert to fraction form
    99,446/150,129 = 150,129/x
  3. Step 3: Cross multiply
    99,446x = 150,129 × 150,129
  4. Step 4: Simplify right side
    99,446x = 22,538,716,641
  5. Step 5: Solve for x
    x = 22,538,716,641/99,446
  6. Step 6: Final answer
    x = 226,642.77

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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.