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Finding the Third Proportional to 60,537.38 and 123,538.50

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Solution

The third proportional to 60,537.38 and 123,538.50 is: 252,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,537.38 : 123,538.50 = 123,538.50 : x
  2. Step 2: Convert to fraction form
    60,537.38/123,538.50 = 123,538.50/x
  3. Step 3: Cross multiply
    60,537.38x = 123,538.50 × 123,538.50
  4. Step 4: Simplify right side
    60,537.38x = 15,261,760,982.25
  5. Step 5: Solve for x
    x = 15,261,760,982.25/60,537.38
  6. Step 6: Final answer
    x = 252,104.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.