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Finding the Third Proportional to 68,353.50 and 96,213

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Solution

The third proportional to 68,353.50 and 96,213 is: 135,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,353.50 : 96,213 = 96,213 : x
  2. Step 2: Convert to fraction form
    68,353.50/96,213 = 96,213/x
  3. Step 3: Cross multiply
    68,353.50x = 96,213 × 96,213
  4. Step 4: Simplify right side
    68,353.50x = 9,256,941,369
  5. Step 5: Solve for x
    x = 9,256,941,369/68,353.50
  6. Step 6: Final answer
    x = 135,427.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.