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Finding the Third Proportional to 53,529 and 79,887

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Solution

The third proportional to 53,529 and 79,887 is: 119,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,529 : 79,887 = 79,887 : x
  2. Step 2: Convert to fraction form
    53,529/79,887 = 79,887/x
  3. Step 3: Cross multiply
    53,529x = 79,887 × 79,887
  4. Step 4: Simplify right side
    53,529x = 6,381,932,769
  5. Step 5: Solve for x
    x = 6,381,932,769/53,529
  6. Step 6: Final answer
    x = 119,223.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.