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Finding the Third Proportional to 66,007 and 87,526

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Solution

The third proportional to 66,007 and 87,526 is: 116,060.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,007 : 87,526 = 87,526 : x
  2. Step 2: Convert to fraction form
    66,007/87,526 = 87,526/x
  3. Step 3: Cross multiply
    66,007x = 87,526 × 87,526
  4. Step 4: Simplify right side
    66,007x = 7,660,800,676
  5. Step 5: Solve for x
    x = 7,660,800,676/66,007
  6. Step 6: Final answer
    x = 116,060.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.