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Finding the Third Proportional to 63,911 and 140,246

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Solution

The third proportional to 63,911 and 140,246 is: 307,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,911 : 140,246 = 140,246 : x
  2. Step 2: Convert to fraction form
    63,911/140,246 = 140,246/x
  3. Step 3: Cross multiply
    63,911x = 140,246 × 140,246
  4. Step 4: Simplify right side
    63,911x = 19,668,940,516
  5. Step 5: Solve for x
    x = 19,668,940,516/63,911
  6. Step 6: Final answer
    x = 307,755.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.