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Finding the Third Proportional to 43,210 and 93,992

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Solution

The third proportional to 43,210 and 93,992 is: 204,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,210 : 93,992 = 93,992 : x
  2. Step 2: Convert to fraction form
    43,210/93,992 = 93,992/x
  3. Step 3: Cross multiply
    43,210x = 93,992 × 93,992
  4. Step 4: Simplify right side
    43,210x = 8,834,496,064
  5. Step 5: Solve for x
    x = 8,834,496,064/43,210
  6. Step 6: Final answer
    x = 204,454.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.