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Finding the Third Proportional to 126,972 and 186,522

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Solution

The third proportional to 126,972 and 186,522 is: 274,001.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,972 : 186,522 = 186,522 : x
  2. Step 2: Convert to fraction form
    126,972/186,522 = 186,522/x
  3. Step 3: Cross multiply
    126,972x = 186,522 × 186,522
  4. Step 4: Simplify right side
    126,972x = 34,790,456,484
  5. Step 5: Solve for x
    x = 34,790,456,484/126,972
  6. Step 6: Final answer
    x = 274,001.01

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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.