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Finding the Third Proportional to 42,275 and 91,595

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Solution

The third proportional to 42,275 and 91,595 is: 198,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,275 : 91,595 = 91,595 : x
  2. Step 2: Convert to fraction form
    42,275/91,595 = 91,595/x
  3. Step 3: Cross multiply
    42,275x = 91,595 × 91,595
  4. Step 4: Simplify right side
    42,275x = 8,389,644,025
  5. Step 5: Solve for x
    x = 8,389,644,025/42,275
  6. Step 6: Final answer
    x = 198,454.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.