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Finding the Third Proportional to 68,244.75 and 99,020.25

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Solution

The third proportional to 68,244.75 and 99,020.25 is: 143,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,244.75 : 99,020.25 = 99,020.25 : x
  2. Step 2: Convert to fraction form
    68,244.75/99,020.25 = 99,020.25/x
  3. Step 3: Cross multiply
    68,244.75x = 99,020.25 × 99,020.25
  4. Step 4: Simplify right side
    68,244.75x = 9,805,009,910.06
  5. Step 5: Solve for x
    x = 9,805,009,910.06/68,244.75
  6. Step 6: Final answer
    x = 143,674.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.