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Finding the Third Proportional to 107,580 and 167,124

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Solution

The third proportional to 107,580 and 167,124 is: 259,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,580 : 167,124 = 167,124 : x
  2. Step 2: Convert to fraction form
    107,580/167,124 = 167,124/x
  3. Step 3: Cross multiply
    107,580x = 167,124 × 167,124
  4. Step 4: Simplify right side
    107,580x = 27,930,431,376
  5. Step 5: Solve for x
    x = 27,930,431,376/107,580
  6. Step 6: Final answer
    x = 259,624.76

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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.