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Finding the Third Proportional to 68,571 and 109,496.25

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Solution

The third proportional to 68,571 and 109,496.25 is: 174,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,571 : 109,496.25 = 109,496.25 : x
  2. Step 2: Convert to fraction form
    68,571/109,496.25 = 109,496.25/x
  3. Step 3: Cross multiply
    68,571x = 109,496.25 × 109,496.25
  4. Step 4: Simplify right side
    68,571x = 11,989,428,764.06
  5. Step 5: Solve for x
    x = 11,989,428,764.06/68,571
  6. Step 6: Final answer
    x = 174,846.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.