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Finding the Third Proportional to 81,378 and 125,226

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Solution

The third proportional to 81,378 and 125,226 is: 192,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,378 : 125,226 = 125,226 : x
  2. Step 2: Convert to fraction form
    81,378/125,226 = 125,226/x
  3. Step 3: Cross multiply
    81,378x = 125,226 × 125,226
  4. Step 4: Simplify right side
    81,378x = 15,681,551,076
  5. Step 5: Solve for x
    x = 15,681,551,076/81,378
  6. Step 6: Final answer
    x = 192,700.13

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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.