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Finding the Third Proportional to 127,877 and 193,593

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Solution

The third proportional to 127,877 and 193,593 is: 293,080.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,877 : 193,593 = 193,593 : x
  2. Step 2: Convert to fraction form
    127,877/193,593 = 193,593/x
  3. Step 3: Cross multiply
    127,877x = 193,593 × 193,593
  4. Step 4: Simplify right side
    127,877x = 37,478,249,649
  5. Step 5: Solve for x
    x = 37,478,249,649/127,877
  6. Step 6: Final answer
    x = 293,080.46

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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.