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Finding the Third Proportional to 41,887 and 91,046

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Solution

The third proportional to 41,887 and 91,046 is: 197,898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,887 : 91,046 = 91,046 : x
  2. Step 2: Convert to fraction form
    41,887/91,046 = 91,046/x
  3. Step 3: Cross multiply
    41,887x = 91,046 × 91,046
  4. Step 4: Simplify right side
    41,887x = 8,289,374,116
  5. Step 5: Solve for x
    x = 8,289,374,116/41,887
  6. Step 6: Final answer
    x = 197,898.49

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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.