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Finding the Third Proportional to 86,774 and 133,314

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Solution

The third proportional to 86,774 and 133,314 is: 204,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,774 : 133,314 = 133,314 : x
  2. Step 2: Convert to fraction form
    86,774/133,314 = 133,314/x
  3. Step 3: Cross multiply
    86,774x = 133,314 × 133,314
  4. Step 4: Simplify right side
    86,774x = 17,772,622,596
  5. Step 5: Solve for x
    x = 17,772,622,596/86,774
  6. Step 6: Final answer
    x = 204,815.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.