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Finding the Third Proportional to 68,154 and 141,816

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Solution

The third proportional to 68,154 and 141,816 is: 295,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,154 : 141,816 = 141,816 : x
  2. Step 2: Convert to fraction form
    68,154/141,816 = 141,816/x
  3. Step 3: Cross multiply
    68,154x = 141,816 × 141,816
  4. Step 4: Simplify right side
    68,154x = 20,111,777,856
  5. Step 5: Solve for x
    x = 20,111,777,856/68,154
  6. Step 6: Final answer
    x = 295,093.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.