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Finding the Third Proportional to 68,560 and 105,947

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Solution

The third proportional to 68,560 and 105,947 is: 163,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,560 : 105,947 = 105,947 : x
  2. Step 2: Convert to fraction form
    68,560/105,947 = 105,947/x
  3. Step 3: Cross multiply
    68,560x = 105,947 × 105,947
  4. Step 4: Simplify right side
    68,560x = 11,224,766,809
  5. Step 5: Solve for x
    x = 11,224,766,809/68,560
  6. Step 6: Final answer
    x = 163,721.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.