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Finding the Third Proportional to 53,656 and 79,849

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Solution

The third proportional to 53,656 and 79,849 is: 118,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,656 : 79,849 = 79,849 : x
  2. Step 2: Convert to fraction form
    53,656/79,849 = 79,849/x
  3. Step 3: Cross multiply
    53,656x = 79,849 × 79,849
  4. Step 4: Simplify right side
    53,656x = 6,375,862,801
  5. Step 5: Solve for x
    x = 6,375,862,801/53,656
  6. Step 6: Final answer
    x = 118,828.52

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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.