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Finding the Third Proportional to 121,806 and 173,839.50

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Solution

The third proportional to 121,806 and 173,839.50 is: 248,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,806 : 173,839.50 = 173,839.50 : x
  2. Step 2: Convert to fraction form
    121,806/173,839.50 = 173,839.50/x
  3. Step 3: Cross multiply
    121,806x = 173,839.50 × 173,839.50
  4. Step 4: Simplify right side
    121,806x = 30,220,171,760.25
  5. Step 5: Solve for x
    x = 30,220,171,760.25/121,806
  6. Step 6: Final answer
    x = 248,100.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.