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Finding the Third Proportional to 89,291 and 121,269

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Solution

The third proportional to 89,291 and 121,269 is: 164,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,291 : 121,269 = 121,269 : x
  2. Step 2: Convert to fraction form
    89,291/121,269 = 121,269/x
  3. Step 3: Cross multiply
    89,291x = 121,269 × 121,269
  4. Step 4: Simplify right side
    89,291x = 14,706,170,361
  5. Step 5: Solve for x
    x = 14,706,170,361/89,291
  6. Step 6: Final answer
    x = 164,699.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.