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Finding the Third Proportional to 86,214 and 121,689

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Solution

The third proportional to 86,214 and 121,689 is: 171,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,214 : 121,689 = 121,689 : x
  2. Step 2: Convert to fraction form
    86,214/121,689 = 121,689/x
  3. Step 3: Cross multiply
    86,214x = 121,689 × 121,689
  4. Step 4: Simplify right side
    86,214x = 14,808,212,721
  5. Step 5: Solve for x
    x = 14,808,212,721/86,214
  6. Step 6: Final answer
    x = 171,761.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.