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Finding the Third Proportional to 75,348 and 113,996

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Solution

The third proportional to 75,348 and 113,996 is: 172,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,348 : 113,996 = 113,996 : x
  2. Step 2: Convert to fraction form
    75,348/113,996 = 113,996/x
  3. Step 3: Cross multiply
    75,348x = 113,996 × 113,996
  4. Step 4: Simplify right side
    75,348x = 12,995,088,016
  5. Step 5: Solve for x
    x = 12,995,088,016/75,348
  6. Step 6: Final answer
    x = 172,467.59

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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.