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Finding the Third Proportional to 123,163 and 185,291

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Solution

The third proportional to 123,163 and 185,291 is: 278,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,163 : 185,291 = 185,291 : x
  2. Step 2: Convert to fraction form
    123,163/185,291 = 185,291/x
  3. Step 3: Cross multiply
    123,163x = 185,291 × 185,291
  4. Step 4: Simplify right side
    123,163x = 34,332,754,681
  5. Step 5: Solve for x
    x = 34,332,754,681/123,163
  6. Step 6: Final answer
    x = 278,758.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.