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Finding the Third Proportional to 66,475 and 95,559

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Solution

The third proportional to 66,475 and 95,559 is: 137,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,475 : 95,559 = 95,559 : x
  2. Step 2: Convert to fraction form
    66,475/95,559 = 95,559/x
  3. Step 3: Cross multiply
    66,475x = 95,559 × 95,559
  4. Step 4: Simplify right side
    66,475x = 9,131,522,481
  5. Step 5: Solve for x
    x = 9,131,522,481/66,475
  6. Step 6: Final answer
    x = 137,367.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.