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Finding the Third Proportional to 66,366 and 140,217.75

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Solution

The third proportional to 66,366 and 140,217.75 is: 296,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,366 : 140,217.75 = 140,217.75 : x
  2. Step 2: Convert to fraction form
    66,366/140,217.75 = 140,217.75/x
  3. Step 3: Cross multiply
    66,366x = 140,217.75 × 140,217.75
  4. Step 4: Simplify right side
    66,366x = 19,661,017,415.06
  5. Step 5: Solve for x
    x = 19,661,017,415.06/66,366
  6. Step 6: Final answer
    x = 296,251.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.