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Finding the Third Proportional to 99,662 and 154,475

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Solution

The third proportional to 99,662 and 154,475 is: 239,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,662 : 154,475 = 154,475 : x
  2. Step 2: Convert to fraction form
    99,662/154,475 = 154,475/x
  3. Step 3: Cross multiply
    99,662x = 154,475 × 154,475
  4. Step 4: Simplify right side
    99,662x = 23,862,525,625
  5. Step 5: Solve for x
    x = 23,862,525,625/99,662
  6. Step 6: Final answer
    x = 239,434.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.