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Finding the Third Proportional to 107,508 and 167,025

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Solution

The third proportional to 107,508 and 167,025 is: 259,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,508 : 167,025 = 167,025 : x
  2. Step 2: Convert to fraction form
    107,508/167,025 = 167,025/x
  3. Step 3: Cross multiply
    107,508x = 167,025 × 167,025
  4. Step 4: Simplify right side
    107,508x = 27,897,350,625
  5. Step 5: Solve for x
    x = 27,897,350,625/107,508
  6. Step 6: Final answer
    x = 259,490.93

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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.