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Finding the Third Proportional to 69,548 and 150,904

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Solution

The third proportional to 69,548 and 150,904 is: 327,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,548 : 150,904 = 150,904 : x
  2. Step 2: Convert to fraction form
    69,548/150,904 = 150,904/x
  3. Step 3: Cross multiply
    69,548x = 150,904 × 150,904
  4. Step 4: Simplify right side
    69,548x = 22,772,017,216
  5. Step 5: Solve for x
    x = 22,772,017,216/69,548
  6. Step 6: Final answer
    x = 327,428.79

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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.