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Finding the Third Proportional to 63,647.50 and 132,524

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Solution

The third proportional to 63,647.50 and 132,524 is: 275,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,647.50 : 132,524 = 132,524 : x
  2. Step 2: Convert to fraction form
    63,647.50/132,524 = 132,524/x
  3. Step 3: Cross multiply
    63,647.50x = 132,524 × 132,524
  4. Step 4: Simplify right side
    63,647.50x = 17,562,610,576
  5. Step 5: Solve for x
    x = 17,562,610,576/63,647.50
  6. Step 6: Final answer
    x = 275,935.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.