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Finding the Third Proportional to 52,486.50 and 111,981

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Solution

The third proportional to 52,486.50 and 111,981 is: 238,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,486.50 : 111,981 = 111,981 : x
  2. Step 2: Convert to fraction form
    52,486.50/111,981 = 111,981/x
  3. Step 3: Cross multiply
    52,486.50x = 111,981 × 111,981
  4. Step 4: Simplify right side
    52,486.50x = 12,539,744,361
  5. Step 5: Solve for x
    x = 12,539,744,361/52,486.50
  6. Step 6: Final answer
    x = 238,913.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.