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Finding the Third Proportional to 85,906.69 and 126,285.47

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Solution

The third proportional to 85,906.69 and 126,285.47 is: 185,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,906.69 : 126,285.47 = 126,285.47 : x
  2. Step 2: Convert to fraction form
    85,906.69/126,285.47 = 126,285.47/x
  3. Step 3: Cross multiply
    85,906.69x = 126,285.47 × 126,285.47
  4. Step 4: Simplify right side
    85,906.69x = 15,948,019,617.41
  5. Step 5: Solve for x
    x = 15,948,019,617.41/85,906.69
  6. Step 6: Final answer
    x = 185,643.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.