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Finding the Third Proportional to 81,378 and 125,754

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Solution

The third proportional to 81,378 and 125,754 is: 194,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,378 : 125,754 = 125,754 : x
  2. Step 2: Convert to fraction form
    81,378/125,754 = 125,754/x
  3. Step 3: Cross multiply
    81,378x = 125,754 × 125,754
  4. Step 4: Simplify right side
    81,378x = 15,814,068,516
  5. Step 5: Solve for x
    x = 15,814,068,516/81,378
  6. Step 6: Final answer
    x = 194,328.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.