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Finding the Third Proportional to 107,552 and 167,082

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Solution

The third proportional to 107,552 and 167,082 is: 259,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,552 : 167,082 = 167,082 : x
  2. Step 2: Convert to fraction form
    107,552/167,082 = 167,082/x
  3. Step 3: Cross multiply
    107,552x = 167,082 × 167,082
  4. Step 4: Simplify right side
    107,552x = 27,916,394,724
  5. Step 5: Solve for x
    x = 27,916,394,724/107,552
  6. Step 6: Final answer
    x = 259,561.84

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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.