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Finding the Third Proportional to 69,724.50 and 143,575.50

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Solution

The third proportional to 69,724.50 and 143,575.50 is: 295,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,724.50 : 143,575.50 = 143,575.50 : x
  2. Step 2: Convert to fraction form
    69,724.50/143,575.50 = 143,575.50/x
  3. Step 3: Cross multiply
    69,724.50x = 143,575.50 × 143,575.50
  4. Step 4: Simplify right side
    69,724.50x = 20,613,924,200.25
  5. Step 5: Solve for x
    x = 20,613,924,200.25/69,724.50
  6. Step 6: Final answer
    x = 295,648.22

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.