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Finding the Third Proportional to 126,980 and 186,532

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Solution

The third proportional to 126,980 and 186,532 is: 274,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,980 : 186,532 = 186,532 : x
  2. Step 2: Convert to fraction form
    126,980/186,532 = 186,532/x
  3. Step 3: Cross multiply
    126,980x = 186,532 × 186,532
  4. Step 4: Simplify right side
    126,980x = 34,794,187,024
  5. Step 5: Solve for x
    x = 34,794,187,024/126,980
  6. Step 6: Final answer
    x = 274,013.13

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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.