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Finding the Third Proportional to 78,599 and 169,706

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Solution

The third proportional to 78,599 and 169,706 is: 366,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,599 : 169,706 = 169,706 : x
  2. Step 2: Convert to fraction form
    78,599/169,706 = 169,706/x
  3. Step 3: Cross multiply
    78,599x = 169,706 × 169,706
  4. Step 4: Simplify right side
    78,599x = 28,800,126,436
  5. Step 5: Solve for x
    x = 28,800,126,436/78,599
  6. Step 6: Final answer
    x = 366,418.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.