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Finding the Third Proportional to 61,393.50 and 132,232.50

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Solution

The third proportional to 61,393.50 and 132,232.50 is: 284,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,393.50 : 132,232.50 = 132,232.50 : x
  2. Step 2: Convert to fraction form
    61,393.50/132,232.50 = 132,232.50/x
  3. Step 3: Cross multiply
    61,393.50x = 132,232.50 × 132,232.50
  4. Step 4: Simplify right side
    61,393.50x = 17,485,434,056.25
  5. Step 5: Solve for x
    x = 17,485,434,056.25/61,393.50
  6. Step 6: Final answer
    x = 284,809.21

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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.