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Finding the Third Proportional to 117,408 and 181,872

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Solution

The third proportional to 117,408 and 181,872 is: 281,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,408 : 181,872 = 181,872 : x
  2. Step 2: Convert to fraction form
    117,408/181,872 = 181,872/x
  3. Step 3: Cross multiply
    117,408x = 181,872 × 181,872
  4. Step 4: Simplify right side
    117,408x = 33,077,424,384
  5. Step 5: Solve for x
    x = 33,077,424,384/117,408
  6. Step 6: Final answer
    x = 281,730.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.