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Finding the Third Proportional to 69,232.50 and 149,074.88

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Solution

The third proportional to 69,232.50 and 149,074.88 is: 320,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,232.50 : 149,074.88 = 149,074.88 : x
  2. Step 2: Convert to fraction form
    69,232.50/149,074.88 = 149,074.88/x
  3. Step 3: Cross multiply
    69,232.50x = 149,074.88 × 149,074.88
  4. Step 4: Simplify right side
    69,232.50x = 22,223,318,356.27
  5. Step 5: Solve for x
    x = 22,223,318,356.27/69,232.50
  6. Step 6: Final answer
    x = 320,995.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.