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Finding the Third Proportional to 66,186 and 99,882

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Solution

The third proportional to 66,186 and 99,882 is: 150,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,186 : 99,882 = 99,882 : x
  2. Step 2: Convert to fraction form
    66,186/99,882 = 99,882/x
  3. Step 3: Cross multiply
    66,186x = 99,882 × 99,882
  4. Step 4: Simplify right side
    66,186x = 9,976,413,924
  5. Step 5: Solve for x
    x = 9,976,413,924/66,186
  6. Step 6: Final answer
    x = 150,732.99

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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.