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Finding the Third Proportional to 53,934 and 79,137

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Solution

The third proportional to 53,934 and 79,137 is: 116,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,934 : 79,137 = 79,137 : x
  2. Step 2: Convert to fraction form
    53,934/79,137 = 79,137/x
  3. Step 3: Cross multiply
    53,934x = 79,137 × 79,137
  4. Step 4: Simplify right side
    53,934x = 6,262,664,769
  5. Step 5: Solve for x
    x = 6,262,664,769/53,934
  6. Step 6: Final answer
    x = 116,117.19

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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.