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Finding the Third Proportional to 81,294 and 125,112

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Solution

The third proportional to 81,294 and 125,112 is: 192,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,294 : 125,112 = 125,112 : x
  2. Step 2: Convert to fraction form
    81,294/125,112 = 125,112/x
  3. Step 3: Cross multiply
    81,294x = 125,112 × 125,112
  4. Step 4: Simplify right side
    81,294x = 15,653,012,544
  5. Step 5: Solve for x
    x = 15,653,012,544/81,294
  6. Step 6: Final answer
    x = 192,548.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.