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Finding the Third Proportional to 69,054 and 151,674

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Solution

The third proportional to 69,054 and 151,674 is: 333,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,054 : 151,674 = 151,674 : x
  2. Step 2: Convert to fraction form
    69,054/151,674 = 151,674/x
  3. Step 3: Cross multiply
    69,054x = 151,674 × 151,674
  4. Step 4: Simplify right side
    69,054x = 23,005,002,276
  5. Step 5: Solve for x
    x = 23,005,002,276/69,054
  6. Step 6: Final answer
    x = 333,145.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.