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Finding the Third Proportional to 84,017 and 127,781

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Solution

The third proportional to 84,017 and 127,781 is: 194,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,017 : 127,781 = 127,781 : x
  2. Step 2: Convert to fraction form
    84,017/127,781 = 127,781/x
  3. Step 3: Cross multiply
    84,017x = 127,781 × 127,781
  4. Step 4: Simplify right side
    84,017x = 16,327,983,961
  5. Step 5: Solve for x
    x = 16,327,983,961/84,017
  6. Step 6: Final answer
    x = 194,341.43

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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.