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Finding the Third Proportional to 69,271.25 and 149,352.75

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Solution

The third proportional to 69,271.25 and 149,352.75 is: 322,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,271.25 : 149,352.75 = 149,352.75 : x
  2. Step 2: Convert to fraction form
    69,271.25/149,352.75 = 149,352.75/x
  3. Step 3: Cross multiply
    69,271.25x = 149,352.75 × 149,352.75
  4. Step 4: Simplify right side
    69,271.25x = 22,306,243,932.56
  5. Step 5: Solve for x
    x = 22,306,243,932.56/69,271.25
  6. Step 6: Final answer
    x = 322,013.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.