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Finding the Third Proportional to 74,408 and 113,358

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Solution

The third proportional to 74,408 and 113,358 is: 172,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,408 : 113,358 = 113,358 : x
  2. Step 2: Convert to fraction form
    74,408/113,358 = 113,358/x
  3. Step 3: Cross multiply
    74,408x = 113,358 × 113,358
  4. Step 4: Simplify right side
    74,408x = 12,850,036,164
  5. Step 5: Solve for x
    x = 12,850,036,164/74,408
  6. Step 6: Final answer
    x = 172,696.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.