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Finding the Third Proportional to 69,774 and 153,156

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Solution

The third proportional to 69,774 and 153,156 is: 336,181.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,774 : 153,156 = 153,156 : x
  2. Step 2: Convert to fraction form
    69,774/153,156 = 153,156/x
  3. Step 3: Cross multiply
    69,774x = 153,156 × 153,156
  4. Step 4: Simplify right side
    69,774x = 23,456,760,336
  5. Step 5: Solve for x
    x = 23,456,760,336/69,774
  6. Step 6: Final answer
    x = 336,181.96

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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.