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Finding the Third Proportional to 65,122.50 and 132,057

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Solution

The third proportional to 65,122.50 and 132,057 is: 267,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,122.50 : 132,057 = 132,057 : x
  2. Step 2: Convert to fraction form
    65,122.50/132,057 = 132,057/x
  3. Step 3: Cross multiply
    65,122.50x = 132,057 × 132,057
  4. Step 4: Simplify right side
    65,122.50x = 17,439,051,249
  5. Step 5: Solve for x
    x = 17,439,051,249/65,122.50
  6. Step 6: Final answer
    x = 267,788.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.