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Finding the Third Proportional to 82,334 and 125,279

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Solution

The third proportional to 82,334 and 125,279 is: 190,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,334 : 125,279 = 125,279 : x
  2. Step 2: Convert to fraction form
    82,334/125,279 = 125,279/x
  3. Step 3: Cross multiply
    82,334x = 125,279 × 125,279
  4. Step 4: Simplify right side
    82,334x = 15,694,827,841
  5. Step 5: Solve for x
    x = 15,694,827,841/82,334
  6. Step 6: Final answer
    x = 190,623.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.