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Finding the Third Proportional to 127,876 and 200,596

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Solution

The third proportional to 127,876 and 200,596 is: 314,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,876 : 200,596 = 200,596 : x
  2. Step 2: Convert to fraction form
    127,876/200,596 = 200,596/x
  3. Step 3: Cross multiply
    127,876x = 200,596 × 200,596
  4. Step 4: Simplify right side
    127,876x = 40,238,755,216
  5. Step 5: Solve for x
    x = 40,238,755,216/127,876
  6. Step 6: Final answer
    x = 314,670.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.