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Finding the Third Proportional to 68,670 and 98,012

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Solution

The third proportional to 68,670 and 98,012 is: 139,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,670 : 98,012 = 98,012 : x
  2. Step 2: Convert to fraction form
    68,670/98,012 = 98,012/x
  3. Step 3: Cross multiply
    68,670x = 98,012 × 98,012
  4. Step 4: Simplify right side
    68,670x = 9,606,352,144
  5. Step 5: Solve for x
    x = 9,606,352,144/68,670
  6. Step 6: Final answer
    x = 139,891.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.