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Finding the Third Proportional to 68,372.23 and 149,080.50

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Solution

The third proportional to 68,372.23 and 149,080.50 is: 325,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,372.23 : 149,080.50 = 149,080.50 : x
  2. Step 2: Convert to fraction form
    68,372.23/149,080.50 = 149,080.50/x
  3. Step 3: Cross multiply
    68,372.23x = 149,080.50 × 149,080.50
  4. Step 4: Simplify right side
    68,372.23x = 22,224,995,480.25
  5. Step 5: Solve for x
    x = 22,224,995,480.25/68,372.23
  6. Step 6: Final answer
    x = 325,058.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.