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Finding the Third Proportional to 52,042 and 112,769

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Solution

The third proportional to 52,042 and 112,769 is: 244,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,042 : 112,769 = 112,769 : x
  2. Step 2: Convert to fraction form
    52,042/112,769 = 112,769/x
  3. Step 3: Cross multiply
    52,042x = 112,769 × 112,769
  4. Step 4: Simplify right side
    52,042x = 12,716,847,361
  5. Step 5: Solve for x
    x = 12,716,847,361/52,042
  6. Step 6: Final answer
    x = 244,357.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.