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Finding the Third Proportional to 38,972 and 83,128

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Solution

The third proportional to 38,972 and 83,128 is: 177,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972 : 83,128 = 83,128 : x
  2. Step 2: Convert to fraction form
    38,972/83,128 = 83,128/x
  3. Step 3: Cross multiply
    38,972x = 83,128 × 83,128
  4. Step 4: Simplify right side
    38,972x = 6,910,264,384
  5. Step 5: Solve for x
    x = 6,910,264,384/38,972
  6. Step 6: Final answer
    x = 177,313.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.