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Finding the Third Proportional to 53,230 and 79,849

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Solution

The third proportional to 53,230 and 79,849 is: 119,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,230 : 79,849 = 79,849 : x
  2. Step 2: Convert to fraction form
    53,230/79,849 = 79,849/x
  3. Step 3: Cross multiply
    53,230x = 79,849 × 79,849
  4. Step 4: Simplify right side
    53,230x = 6,375,862,801
  5. Step 5: Solve for x
    x = 6,375,862,801/53,230
  6. Step 6: Final answer
    x = 119,779.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.