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Finding the Third Proportional to 83,292 and 122,733

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Solution

The third proportional to 83,292 and 122,733 is: 180,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292 : 122,733 = 122,733 : x
  2. Step 2: Convert to fraction form
    83,292/122,733 = 122,733/x
  3. Step 3: Cross multiply
    83,292x = 122,733 × 122,733
  4. Step 4: Simplify right side
    83,292x = 15,063,389,289
  5. Step 5: Solve for x
    x = 15,063,389,289/83,292
  6. Step 6: Final answer
    x = 180,850.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.