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Finding the Third Proportional to 74,024 and 112,879

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Solution

The third proportional to 74,024 and 112,879 is: 172,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,024 : 112,879 = 112,879 : x
  2. Step 2: Convert to fraction form
    74,024/112,879 = 112,879/x
  3. Step 3: Cross multiply
    74,024x = 112,879 × 112,879
  4. Step 4: Simplify right side
    74,024x = 12,741,668,641
  5. Step 5: Solve for x
    x = 12,741,668,641/74,024
  6. Step 6: Final answer
    x = 172,128.89

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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.