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Finding the Third Proportional to 68,100.75 and 94,314.38

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Solution

The third proportional to 68,100.75 and 94,314.38 is: 130,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,100.75 : 94,314.38 = 94,314.38 : x
  2. Step 2: Convert to fraction form
    68,100.75/94,314.38 = 94,314.38/x
  3. Step 3: Cross multiply
    68,100.75x = 94,314.38 × 94,314.38
  4. Step 4: Simplify right side
    68,100.75x = 8,895,201,331.64
  5. Step 5: Solve for x
    x = 8,895,201,331.64/68,100.75
  6. Step 6: Final answer
    x = 130,618.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.