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Finding the Third Proportional to 88,767 and 124,857

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Solution

The third proportional to 88,767 and 124,857 is: 175,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,767 : 124,857 = 124,857 : x
  2. Step 2: Convert to fraction form
    88,767/124,857 = 124,857/x
  3. Step 3: Cross multiply
    88,767x = 124,857 × 124,857
  4. Step 4: Simplify right side
    88,767x = 15,589,270,449
  5. Step 5: Solve for x
    x = 15,589,270,449/88,767
  6. Step 6: Final answer
    x = 175,620.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.