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Finding the Third Proportional to 84,688.50 and 123,850.50

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Solution

The third proportional to 84,688.50 and 123,850.50 is: 181,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,688.50 : 123,850.50 = 123,850.50 : x
  2. Step 2: Convert to fraction form
    84,688.50/123,850.50 = 123,850.50/x
  3. Step 3: Cross multiply
    84,688.50x = 123,850.50 × 123,850.50
  4. Step 4: Simplify right side
    84,688.50x = 15,338,946,350.25
  5. Step 5: Solve for x
    x = 15,338,946,350.25/84,688.50
  6. Step 6: Final answer
    x = 181,121.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.