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Finding the Third Proportional to 123,248 and 187,176

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Solution

The third proportional to 123,248 and 187,176 is: 284,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,248 : 187,176 = 187,176 : x
  2. Step 2: Convert to fraction form
    123,248/187,176 = 187,176/x
  3. Step 3: Cross multiply
    123,248x = 187,176 × 187,176
  4. Step 4: Simplify right side
    123,248x = 35,034,854,976
  5. Step 5: Solve for x
    x = 35,034,854,976/123,248
  6. Step 6: Final answer
    x = 284,263.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.