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Finding the Third Proportional to 66,363 and 140,214

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Solution

The third proportional to 66,363 and 140,214 is: 296,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,363 : 140,214 = 140,214 : x
  2. Step 2: Convert to fraction form
    66,363/140,214 = 140,214/x
  3. Step 3: Cross multiply
    66,363x = 140,214 × 140,214
  4. Step 4: Simplify right side
    66,363x = 19,659,965,796
  5. Step 5: Solve for x
    x = 19,659,965,796/66,363
  6. Step 6: Final answer
    x = 296,248.90

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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.