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Finding the Third Proportional to 96,838.50 and 141,405

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Solution

The third proportional to 96,838.50 and 141,405 is: 206,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838.50 : 141,405 = 141,405 : x
  2. Step 2: Convert to fraction form
    96,838.50/141,405 = 141,405/x
  3. Step 3: Cross multiply
    96,838.50x = 141,405 × 141,405
  4. Step 4: Simplify right side
    96,838.50x = 19,995,374,025
  5. Step 5: Solve for x
    x = 19,995,374,025/96,838.50
  6. Step 6: Final answer
    x = 206,481.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.