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Finding the Third Proportional to 94,732 and 126,382

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Solution

The third proportional to 94,732 and 126,382 is: 168,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,732 : 126,382 = 126,382 : x
  2. Step 2: Convert to fraction form
    94,732/126,382 = 126,382/x
  3. Step 3: Cross multiply
    94,732x = 126,382 × 126,382
  4. Step 4: Simplify right side
    94,732x = 15,972,409,924
  5. Step 5: Solve for x
    x = 15,972,409,924/94,732
  6. Step 6: Final answer
    x = 168,606.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.