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Finding the Third Proportional to 75,252 and 100,718

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Solution

The third proportional to 75,252 and 100,718 is: 134,801.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,252 : 100,718 = 100,718 : x
  2. Step 2: Convert to fraction form
    75,252/100,718 = 100,718/x
  3. Step 3: Cross multiply
    75,252x = 100,718 × 100,718
  4. Step 4: Simplify right side
    75,252x = 10,144,115,524
  5. Step 5: Solve for x
    x = 10,144,115,524/75,252
  6. Step 6: Final answer
    x = 134,801.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.