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Finding the Third Proportional to 56,701 and 124,256

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Solution

The third proportional to 56,701 and 124,256 is: 272,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,701 : 124,256 = 124,256 : x
  2. Step 2: Convert to fraction form
    56,701/124,256 = 124,256/x
  3. Step 3: Cross multiply
    56,701x = 124,256 × 124,256
  4. Step 4: Simplify right side
    56,701x = 15,439,553,536
  5. Step 5: Solve for x
    x = 15,439,553,536/56,701
  6. Step 6: Final answer
    x = 272,297.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.