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Finding the Third Proportional to 68,364 and 104,940

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Solution

The third proportional to 68,364 and 104,940 is: 161,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,364 : 104,940 = 104,940 : x
  2. Step 2: Convert to fraction form
    68,364/104,940 = 104,940/x
  3. Step 3: Cross multiply
    68,364x = 104,940 × 104,940
  4. Step 4: Simplify right side
    68,364x = 11,012,403,600
  5. Step 5: Solve for x
    x = 11,012,403,600/68,364
  6. Step 6: Final answer
    x = 161,084.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.