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Finding the Third Proportional to 79,984 and 169,806

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Solution

The third proportional to 79,984 and 169,806 is: 360,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,984 : 169,806 = 169,806 : x
  2. Step 2: Convert to fraction form
    79,984/169,806 = 169,806/x
  3. Step 3: Cross multiply
    79,984x = 169,806 × 169,806
  4. Step 4: Simplify right side
    79,984x = 28,834,077,636
  5. Step 5: Solve for x
    x = 28,834,077,636/79,984
  6. Step 6: Final answer
    x = 360,498.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.