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Finding the Third Proportional to 69,504.50 and 148,850.50

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Solution

The third proportional to 69,504.50 and 148,850.50 is: 318,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,504.50 : 148,850.50 = 148,850.50 : x
  2. Step 2: Convert to fraction form
    69,504.50/148,850.50 = 148,850.50/x
  3. Step 3: Cross multiply
    69,504.50x = 148,850.50 × 148,850.50
  4. Step 4: Simplify right side
    69,504.50x = 22,156,471,350.25
  5. Step 5: Solve for x
    x = 22,156,471,350.25/69,504.50
  6. Step 6: Final answer
    x = 318,777.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.