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Finding the Third Proportional to 46,523 and 96,981

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Solution

The third proportional to 46,523 and 96,981 is: 202,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,523 : 96,981 = 96,981 : x
  2. Step 2: Convert to fraction form
    46,523/96,981 = 96,981/x
  3. Step 3: Cross multiply
    46,523x = 96,981 × 96,981
  4. Step 4: Simplify right side
    46,523x = 9,405,314,361
  5. Step 5: Solve for x
    x = 9,405,314,361/46,523
  6. Step 6: Final answer
    x = 202,164.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.