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Finding the Third Proportional to 70,257 and 124,917

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Solution

The third proportional to 70,257 and 124,917 is: 222,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,257 : 124,917 = 124,917 : x
  2. Step 2: Convert to fraction form
    70,257/124,917 = 124,917/x
  3. Step 3: Cross multiply
    70,257x = 124,917 × 124,917
  4. Step 4: Simplify right side
    70,257x = 15,604,256,889
  5. Step 5: Solve for x
    x = 15,604,256,889/70,257
  6. Step 6: Final answer
    x = 222,102.52

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.