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Finding the Third Proportional to 67,866 and 147,779

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Solution

The third proportional to 67,866 and 147,779 is: 321,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,866 : 147,779 = 147,779 : x
  2. Step 2: Convert to fraction form
    67,866/147,779 = 147,779/x
  3. Step 3: Cross multiply
    67,866x = 147,779 × 147,779
  4. Step 4: Simplify right side
    67,866x = 21,838,632,841
  5. Step 5: Solve for x
    x = 21,838,632,841/67,866
  6. Step 6: Final answer
    x = 321,790.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.