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Finding the Third Proportional to 66,472.50 and 143,508.75

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Solution

The third proportional to 66,472.50 and 143,508.75 is: 309,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,472.50 : 143,508.75 = 143,508.75 : x
  2. Step 2: Convert to fraction form
    66,472.50/143,508.75 = 143,508.75/x
  3. Step 3: Cross multiply
    66,472.50x = 143,508.75 × 143,508.75
  4. Step 4: Simplify right side
    66,472.50x = 20,594,761,326.56
  5. Step 5: Solve for x
    x = 20,594,761,326.56/66,472.50
  6. Step 6: Final answer
    x = 309,823.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.