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Finding the Third Proportional to 68,092 and 147,736

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Solution

The third proportional to 68,092 and 147,736 is: 320,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,092 : 147,736 = 147,736 : x
  2. Step 2: Convert to fraction form
    68,092/147,736 = 147,736/x
  3. Step 3: Cross multiply
    68,092x = 147,736 × 147,736
  4. Step 4: Simplify right side
    68,092x = 21,825,925,696
  5. Step 5: Solve for x
    x = 21,825,925,696/68,092
  6. Step 6: Final answer
    x = 320,535.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.