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Finding the Third Proportional to 69,151.50 and 143,175

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Solution

The third proportional to 69,151.50 and 143,175 is: 296,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,151.50 : 143,175 = 143,175 : x
  2. Step 2: Convert to fraction form
    69,151.50/143,175 = 143,175/x
  3. Step 3: Cross multiply
    69,151.50x = 143,175 × 143,175
  4. Step 4: Simplify right side
    69,151.50x = 20,499,080,625
  5. Step 5: Solve for x
    x = 20,499,080,625/69,151.50
  6. Step 6: Final answer
    x = 296,437.25

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.