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Finding the Third Proportional to 69,047.25 and 148,986.75

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Solution

The third proportional to 69,047.25 and 148,986.75 is: 321,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,047.25 : 148,986.75 = 148,986.75 : x
  2. Step 2: Convert to fraction form
    69,047.25/148,986.75 = 148,986.75/x
  3. Step 3: Cross multiply
    69,047.25x = 148,986.75 × 148,986.75
  4. Step 4: Simplify right side
    69,047.25x = 22,197,051,675.56
  5. Step 5: Solve for x
    x = 22,197,051,675.56/69,047.25
  6. Step 6: Final answer
    x = 321,476.26

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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.