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Finding the Third Proportional to 69,455 and 150,826

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Solution

The third proportional to 69,455 and 150,826 is: 327,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,455 : 150,826 = 150,826 : x
  2. Step 2: Convert to fraction form
    69,455/150,826 = 150,826/x
  3. Step 3: Cross multiply
    69,455x = 150,826 × 150,826
  4. Step 4: Simplify right side
    69,455x = 22,748,482,276
  5. Step 5: Solve for x
    x = 22,748,482,276/69,455
  6. Step 6: Final answer
    x = 327,528.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.