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Finding the Third Proportional to 123,246 and 187,173

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Solution

The third proportional to 123,246 and 187,173 is: 284,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,246 : 187,173 = 187,173 : x
  2. Step 2: Convert to fraction form
    123,246/187,173 = 187,173/x
  3. Step 3: Cross multiply
    123,246x = 187,173 × 187,173
  4. Step 4: Simplify right side
    123,246x = 35,033,731,929
  5. Step 5: Solve for x
    x = 35,033,731,929/123,246
  6. Step 6: Final answer
    x = 284,258.57

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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.