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Finding the Third Proportional to 75,351 and 113,997

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Solution

The third proportional to 75,351 and 113,997 is: 172,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,351 : 113,997 = 113,997 : x
  2. Step 2: Convert to fraction form
    75,351/113,997 = 113,997/x
  3. Step 3: Cross multiply
    75,351x = 113,997 × 113,997
  4. Step 4: Simplify right side
    75,351x = 12,995,316,009
  5. Step 5: Solve for x
    x = 12,995,316,009/75,351
  6. Step 6: Final answer
    x = 172,463.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.