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Finding the Third Proportional to 40,275 and 90,995

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Solution

The third proportional to 40,275 and 90,995 is: 205,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,275 : 90,995 = 90,995 : x
  2. Step 2: Convert to fraction form
    40,275/90,995 = 90,995/x
  3. Step 3: Cross multiply
    40,275x = 90,995 × 90,995
  4. Step 4: Simplify right side
    40,275x = 8,280,090,025
  5. Step 5: Solve for x
    x = 8,280,090,025/40,275
  6. Step 6: Final answer
    x = 205,588.83

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.