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Finding the Third Proportional to 83,669 and 122,712

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Solution

The third proportional to 83,669 and 122,712 is: 179,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,669 : 122,712 = 122,712 : x
  2. Step 2: Convert to fraction form
    83,669/122,712 = 122,712/x
  3. Step 3: Cross multiply
    83,669x = 122,712 × 122,712
  4. Step 4: Simplify right side
    83,669x = 15,058,234,944
  5. Step 5: Solve for x
    x = 15,058,234,944/83,669
  6. Step 6: Final answer
    x = 179,973.88

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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.