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Finding the Third Proportional to 78,868 and 168,808

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Solution

The third proportional to 78,868 and 168,808 is: 361,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,868 : 168,808 = 168,808 : x
  2. Step 2: Convert to fraction form
    78,868/168,808 = 168,808/x
  3. Step 3: Cross multiply
    78,868x = 168,808 × 168,808
  4. Step 4: Simplify right side
    78,868x = 28,496,140,864
  5. Step 5: Solve for x
    x = 28,496,140,864/78,868
  6. Step 6: Final answer
    x = 361,314.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.