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Finding the Third Proportional to 99,001 and 162,525

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Solution

The third proportional to 99,001 and 162,525 is: 266,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,001 : 162,525 = 162,525 : x
  2. Step 2: Convert to fraction form
    99,001/162,525 = 162,525/x
  3. Step 3: Cross multiply
    99,001x = 162,525 × 162,525
  4. Step 4: Simplify right side
    99,001x = 26,414,375,625
  5. Step 5: Solve for x
    x = 26,414,375,625/99,001
  6. Step 6: Final answer
    x = 266,809.18

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.