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Finding the Third Proportional to 127,961 and 193,703

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Solution

The third proportional to 127,961 and 193,703 is: 293,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,961 : 193,703 = 193,703 : x
  2. Step 2: Convert to fraction form
    127,961/193,703 = 193,703/x
  3. Step 3: Cross multiply
    127,961x = 193,703 × 193,703
  4. Step 4: Simplify right side
    127,961x = 37,520,852,209
  5. Step 5: Solve for x
    x = 37,520,852,209/127,961
  6. Step 6: Final answer
    x = 293,221.00

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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.