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Finding the Third Proportional to 43,496 and 94,184

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Solution

The third proportional to 43,496 and 94,184 is: 203,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,496 : 94,184 = 94,184 : x
  2. Step 2: Convert to fraction form
    43,496/94,184 = 94,184/x
  3. Step 3: Cross multiply
    43,496x = 94,184 × 94,184
  4. Step 4: Simplify right side
    43,496x = 8,870,625,856
  5. Step 5: Solve for x
    x = 8,870,625,856/43,496
  6. Step 6: Final answer
    x = 203,941.19

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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.