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Finding the Third Proportional to 65,401 and 101,246

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Solution

The third proportional to 65,401 and 101,246 is: 156,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,401 : 101,246 = 101,246 : x
  2. Step 2: Convert to fraction form
    65,401/101,246 = 101,246/x
  3. Step 3: Cross multiply
    65,401x = 101,246 × 101,246
  4. Step 4: Simplify right side
    65,401x = 10,250,752,516
  5. Step 5: Solve for x
    x = 10,250,752,516/65,401
  6. Step 6: Final answer
    x = 156,736.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.