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Finding the Third Proportional to 65,234.84 and 101,008.75

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Solution

The third proportional to 65,234.84 and 101,008.75 is: 156,400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.84 : 101,008.75 = 101,008.75 : x
  2. Step 2: Convert to fraction form
    65,234.84/101,008.75 = 101,008.75/x
  3. Step 3: Cross multiply
    65,234.84x = 101,008.75 × 101,008.75
  4. Step 4: Simplify right side
    65,234.84x = 10,202,767,576.56
  5. Step 5: Solve for x
    x = 10,202,767,576.56/65,234.84
  6. Step 6: Final answer
    x = 156,400.58

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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.