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Finding the Third Proportional to 53,448 and 79,884

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Solution

The third proportional to 53,448 and 79,884 is: 119,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,448 : 79,884 = 79,884 : x
  2. Step 2: Convert to fraction form
    53,448/79,884 = 79,884/x
  3. Step 3: Cross multiply
    53,448x = 79,884 × 79,884
  4. Step 4: Simplify right side
    53,448x = 6,381,453,456
  5. Step 5: Solve for x
    x = 6,381,453,456/53,448
  6. Step 6: Final answer
    x = 119,395.55

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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.