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Finding the Third Proportional to 99,151 and 159,614

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Solution

The third proportional to 99,151 and 159,614 is: 256,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,151 : 159,614 = 159,614 : x
  2. Step 2: Convert to fraction form
    99,151/159,614 = 159,614/x
  3. Step 3: Cross multiply
    99,151x = 159,614 × 159,614
  4. Step 4: Simplify right side
    99,151x = 25,476,628,996
  5. Step 5: Solve for x
    x = 25,476,628,996/99,151
  6. Step 6: Final answer
    x = 256,947.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.