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Finding the Third Proportional to 56,874 and 132,865

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Solution

The third proportional to 56,874 and 132,865 is: 310,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,874 : 132,865 = 132,865 : x
  2. Step 2: Convert to fraction form
    56,874/132,865 = 132,865/x
  3. Step 3: Cross multiply
    56,874x = 132,865 × 132,865
  4. Step 4: Simplify right side
    56,874x = 17,653,108,225
  5. Step 5: Solve for x
    x = 17,653,108,225/56,874
  6. Step 6: Final answer
    x = 310,389.78

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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.