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Finding the Third Proportional to 60,333.75 and 132,563.25

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Solution

The third proportional to 60,333.75 and 132,563.25 is: 291,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,333.75 : 132,563.25 = 132,563.25 : x
  2. Step 2: Convert to fraction form
    60,333.75/132,563.25 = 132,563.25/x
  3. Step 3: Cross multiply
    60,333.75x = 132,563.25 × 132,563.25
  4. Step 4: Simplify right side
    60,333.75x = 17,573,015,250.56
  5. Step 5: Solve for x
    x = 17,573,015,250.56/60,333.75
  6. Step 6: Final answer
    x = 291,263.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.