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Finding the Third Proportional to 52,267 and 78,887

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Solution

The third proportional to 52,267 and 78,887 is: 119,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,267 : 78,887 = 78,887 : x
  2. Step 2: Convert to fraction form
    52,267/78,887 = 78,887/x
  3. Step 3: Cross multiply
    52,267x = 78,887 × 78,887
  4. Step 4: Simplify right side
    52,267x = 6,223,158,769
  5. Step 5: Solve for x
    x = 6,223,158,769/52,267
  6. Step 6: Final answer
    x = 119,064.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.