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Finding the Third Proportional to 53,847 and 79,042

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Solution

The third proportional to 53,847 and 79,042 is: 116,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,847 : 79,042 = 79,042 : x
  2. Step 2: Convert to fraction form
    53,847/79,042 = 79,042/x
  3. Step 3: Cross multiply
    53,847x = 79,042 × 79,042
  4. Step 4: Simplify right side
    53,847x = 6,247,637,764
  5. Step 5: Solve for x
    x = 6,247,637,764/53,847
  6. Step 6: Final answer
    x = 116,025.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.