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Finding the Third Proportional to 108,700 and 168,006

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Solution

The third proportional to 108,700 and 168,006 is: 259,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,700 : 168,006 = 168,006 : x
  2. Step 2: Convert to fraction form
    108,700/168,006 = 168,006/x
  3. Step 3: Cross multiply
    108,700x = 168,006 × 168,006
  4. Step 4: Simplify right side
    108,700x = 28,226,016,036
  5. Step 5: Solve for x
    x = 28,226,016,036/108,700
  6. Step 6: Final answer
    x = 259,668.96

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