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Finding the Third Proportional to 108,604 and 167,816

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Solution

The third proportional to 108,604 and 167,816 is: 259,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,604 : 167,816 = 167,816 : x
  2. Step 2: Convert to fraction form
    108,604/167,816 = 167,816/x
  3. Step 3: Cross multiply
    108,604x = 167,816 × 167,816
  4. Step 4: Simplify right side
    108,604x = 28,162,209,856
  5. Step 5: Solve for x
    x = 28,162,209,856/108,604
  6. Step 6: Final answer
    x = 259,310.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.