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Finding the Third Proportional to 99,422 and 150,580

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Solution

The third proportional to 99,422 and 150,580 is: 228,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,422 : 150,580 = 150,580 : x
  2. Step 2: Convert to fraction form
    99,422/150,580 = 150,580/x
  3. Step 3: Cross multiply
    99,422x = 150,580 × 150,580
  4. Step 4: Simplify right side
    99,422x = 22,674,336,400
  5. Step 5: Solve for x
    x = 22,674,336,400/99,422
  6. Step 6: Final answer
    x = 228,061.56

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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.