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Finding the Third Proportional to 80,152 and 124,765

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Solution

The third proportional to 80,152 and 124,765 is: 194,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,152 : 124,765 = 124,765 : x
  2. Step 2: Convert to fraction form
    80,152/124,765 = 124,765/x
  3. Step 3: Cross multiply
    80,152x = 124,765 × 124,765
  4. Step 4: Simplify right side
    80,152x = 15,566,305,225
  5. Step 5: Solve for x
    x = 15,566,305,225/80,152
  6. Step 6: Final answer
    x = 194,209.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.