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Finding the Third Proportional to 84,886 and 127,339

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Solution

The third proportional to 84,886 and 127,339 is: 191,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,886 : 127,339 = 127,339 : x
  2. Step 2: Convert to fraction form
    84,886/127,339 = 127,339/x
  3. Step 3: Cross multiply
    84,886x = 127,339 × 127,339
  4. Step 4: Simplify right side
    84,886x = 16,215,220,921
  5. Step 5: Solve for x
    x = 16,215,220,921/84,886
  6. Step 6: Final answer
    x = 191,023.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.