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Finding the Third Proportional to 65,398 and 101,243

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Solution

The third proportional to 65,398 and 101,243 is: 156,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,398 : 101,243 = 101,243 : x
  2. Step 2: Convert to fraction form
    65,398/101,243 = 101,243/x
  3. Step 3: Cross multiply
    65,398x = 101,243 × 101,243
  4. Step 4: Simplify right side
    65,398x = 10,250,145,049
  5. Step 5: Solve for x
    x = 10,250,145,049/65,398
  6. Step 6: Final answer
    x = 156,734.84

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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.