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Finding the Third Proportional to 123,527 and 167,793

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Solution

The third proportional to 123,527 and 167,793 is: 227,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,527 : 167,793 = 167,793 : x
  2. Step 2: Convert to fraction form
    123,527/167,793 = 167,793/x
  3. Step 3: Cross multiply
    123,527x = 167,793 × 167,793
  4. Step 4: Simplify right side
    123,527x = 28,154,490,849
  5. Step 5: Solve for x
    x = 28,154,490,849/123,527
  6. Step 6: Final answer
    x = 227,921.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.