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Finding the Third Proportional to 86,692 and 121,758

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Solution

The third proportional to 86,692 and 121,758 is: 171,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,692 : 121,758 = 121,758 : x
  2. Step 2: Convert to fraction form
    86,692/121,758 = 121,758/x
  3. Step 3: Cross multiply
    86,692x = 121,758 × 121,758
  4. Step 4: Simplify right side
    86,692x = 14,825,010,564
  5. Step 5: Solve for x
    x = 14,825,010,564/86,692
  6. Step 6: Final answer
    x = 171,007.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.