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Finding the Third Proportional to 68,216.25 and 143,501.75

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Solution

The third proportional to 68,216.25 and 143,501.75 is: 301,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,216.25 : 143,501.75 = 143,501.75 : x
  2. Step 2: Convert to fraction form
    68,216.25/143,501.75 = 143,501.75/x
  3. Step 3: Cross multiply
    68,216.25x = 143,501.75 × 143,501.75
  4. Step 4: Simplify right side
    68,216.25x = 20,592,752,253.06
  5. Step 5: Solve for x
    x = 20,592,752,253.06/68,216.25
  6. Step 6: Final answer
    x = 301,874.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.