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Finding the Third Proportional to 50,643.25 and 108,644.75

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Solution

The third proportional to 50,643.25 and 108,644.75 is: 233,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643.25 : 108,644.75 = 108,644.75 : x
  2. Step 2: Convert to fraction form
    50,643.25/108,644.75 = 108,644.75/x
  3. Step 3: Cross multiply
    50,643.25x = 108,644.75 × 108,644.75
  4. Step 4: Simplify right side
    50,643.25x = 11,803,681,702.56
  5. Step 5: Solve for x
    x = 11,803,681,702.56/50,643.25
  6. Step 6: Final answer
    x = 233,075.12

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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.