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Finding the Third Proportional to 45,866 and 94,684

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Solution

The third proportional to 45,866 and 94,684 is: 195,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,866 : 94,684 = 94,684 : x
  2. Step 2: Convert to fraction form
    45,866/94,684 = 94,684/x
  3. Step 3: Cross multiply
    45,866x = 94,684 × 94,684
  4. Step 4: Simplify right side
    45,866x = 8,965,059,856
  5. Step 5: Solve for x
    x = 8,965,059,856/45,866
  6. Step 6: Final answer
    x = 195,461.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.