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Finding the Third Proportional to 127,879 and 193,596

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Solution

The third proportional to 127,879 and 193,596 is: 293,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,879 : 193,596 = 193,596 : x
  2. Step 2: Convert to fraction form
    127,879/193,596 = 193,596/x
  3. Step 3: Cross multiply
    127,879x = 193,596 × 193,596
  4. Step 4: Simplify right side
    127,879x = 37,479,411,216
  5. Step 5: Solve for x
    x = 37,479,411,216/127,879
  6. Step 6: Final answer
    x = 293,084.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.