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Finding the Third Proportional to 123,275.25 and 167,049

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Solution

The third proportional to 123,275.25 and 167,049 is: 226,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,275.25 : 167,049 = 167,049 : x
  2. Step 2: Convert to fraction form
    123,275.25/167,049 = 167,049/x
  3. Step 3: Cross multiply
    123,275.25x = 167,049 × 167,049
  4. Step 4: Simplify right side
    123,275.25x = 27,905,368,401
  5. Step 5: Solve for x
    x = 27,905,368,401/123,275.25
  6. Step 6: Final answer
    x = 226,366.35

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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.