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Finding the Third Proportional to 74,464 and 113,450

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Solution

The third proportional to 74,464 and 113,450 is: 172,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,464 : 113,450 = 113,450 : x
  2. Step 2: Convert to fraction form
    74,464/113,450 = 113,450/x
  3. Step 3: Cross multiply
    74,464x = 113,450 × 113,450
  4. Step 4: Simplify right side
    74,464x = 12,870,902,500
  5. Step 5: Solve for x
    x = 12,870,902,500/74,464
  6. Step 6: Final answer
    x = 172,847.32

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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.