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Finding the Third Proportional to 75,374 and 163,872

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Solution

The third proportional to 75,374 and 163,872 is: 356,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,374 : 163,872 = 163,872 : x
  2. Step 2: Convert to fraction form
    75,374/163,872 = 163,872/x
  3. Step 3: Cross multiply
    75,374x = 163,872 × 163,872
  4. Step 4: Simplify right side
    75,374x = 26,854,032,384
  5. Step 5: Solve for x
    x = 26,854,032,384/75,374
  6. Step 6: Final answer
    x = 356,277.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.