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Finding the Third Proportional to 105,862 and 168,514

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Solution

The third proportional to 105,862 and 168,514 is: 268,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,862 : 168,514 = 168,514 : x
  2. Step 2: Convert to fraction form
    105,862/168,514 = 168,514/x
  3. Step 3: Cross multiply
    105,862x = 168,514 × 168,514
  4. Step 4: Simplify right side
    105,862x = 28,396,968,196
  5. Step 5: Solve for x
    x = 28,396,968,196/105,862
  6. Step 6: Final answer
    x = 268,245.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.