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Finding the Third Proportional to 84,394 and 127,132

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Solution

The third proportional to 84,394 and 127,132 is: 191,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,394 : 127,132 = 127,132 : x
  2. Step 2: Convert to fraction form
    84,394/127,132 = 127,132/x
  3. Step 3: Cross multiply
    84,394x = 127,132 × 127,132
  4. Step 4: Simplify right side
    84,394x = 16,162,545,424
  5. Step 5: Solve for x
    x = 16,162,545,424/84,394
  6. Step 6: Final answer
    x = 191,512.97

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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.