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Finding the Third Proportional to 56,412 and 131,838

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Solution

The third proportional to 56,412 and 131,838 is: 308,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,412 : 131,838 = 131,838 : x
  2. Step 2: Convert to fraction form
    56,412/131,838 = 131,838/x
  3. Step 3: Cross multiply
    56,412x = 131,838 × 131,838
  4. Step 4: Simplify right side
    56,412x = 17,381,258,244
  5. Step 5: Solve for x
    x = 17,381,258,244/56,412
  6. Step 6: Final answer
    x = 308,112.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.