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Finding the Third Proportional to 108,708 and 168,012

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Solution

The third proportional to 108,708 and 168,012 is: 259,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,708 : 168,012 = 168,012 : x
  2. Step 2: Convert to fraction form
    108,708/168,012 = 168,012/x
  3. Step 3: Cross multiply
    108,708x = 168,012 × 168,012
  4. Step 4: Simplify right side
    108,708x = 28,228,032,144
  5. Step 5: Solve for x
    x = 28,228,032,144/108,708
  6. Step 6: Final answer
    x = 259,668.40

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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.