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Finding the Third Proportional to 68,087.25 and 98,219.25

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Solution

The third proportional to 68,087.25 and 98,219.25 is: 141,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,087.25 : 98,219.25 = 98,219.25 : x
  2. Step 2: Convert to fraction form
    68,087.25/98,219.25 = 98,219.25/x
  3. Step 3: Cross multiply
    68,087.25x = 98,219.25 × 98,219.25
  4. Step 4: Simplify right side
    68,087.25x = 9,647,021,070.56
  5. Step 5: Solve for x
    x = 9,647,021,070.56/68,087.25
  6. Step 6: Final answer
    x = 141,686.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.