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Finding the Third Proportional to 65,400 and 101,247

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Solution

The third proportional to 65,400 and 101,247 is: 156,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,400 : 101,247 = 101,247 : x
  2. Step 2: Convert to fraction form
    65,400/101,247 = 101,247/x
  3. Step 3: Cross multiply
    65,400x = 101,247 × 101,247
  4. Step 4: Simplify right side
    65,400x = 10,250,955,009
  5. Step 5: Solve for x
    x = 10,250,955,009/65,400
  6. Step 6: Final answer
    x = 156,742.43

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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.