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Finding the Third Proportional to 66,514 and 99,767

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Solution

The third proportional to 66,514 and 99,767 is: 149,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,514 : 99,767 = 99,767 : x
  2. Step 2: Convert to fraction form
    66,514/99,767 = 99,767/x
  3. Step 3: Cross multiply
    66,514x = 99,767 × 99,767
  4. Step 4: Simplify right side
    66,514x = 9,953,454,289
  5. Step 5: Solve for x
    x = 9,953,454,289/66,514
  6. Step 6: Final answer
    x = 149,644.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.