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Finding the Third Proportional to 107,082 and 156,782

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Solution

The third proportional to 107,082 and 156,782 is: 229,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,082 : 156,782 = 156,782 : x
  2. Step 2: Convert to fraction form
    107,082/156,782 = 156,782/x
  3. Step 3: Cross multiply
    107,082x = 156,782 × 156,782
  4. Step 4: Simplify right side
    107,082x = 24,580,595,524
  5. Step 5: Solve for x
    x = 24,580,595,524/107,082
  6. Step 6: Final answer
    x = 229,549.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.