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Finding the Third Proportional to 131,427.56 and 199,740.94

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Solution

The third proportional to 131,427.56 and 199,740.94 is: 303,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,427.56 : 199,740.94 = 199,740.94 : x
  2. Step 2: Convert to fraction form
    131,427.56/199,740.94 = 199,740.94/x
  3. Step 3: Cross multiply
    131,427.56x = 199,740.94 × 199,740.94
  4. Step 4: Simplify right side
    131,427.56x = 39,896,442,113.38
  5. Step 5: Solve for x
    x = 39,896,442,113.38/131,427.56
  6. Step 6: Final answer
    x = 303,562.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.