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Finding the Third Proportional to 135,472 and 201,245.25

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Solution

The third proportional to 135,472 and 201,245.25 is: 298,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,472 : 201,245.25 = 201,245.25 : x
  2. Step 2: Convert to fraction form
    135,472/201,245.25 = 201,245.25/x
  3. Step 3: Cross multiply
    135,472x = 201,245.25 × 201,245.25
  4. Step 4: Simplify right side
    135,472x = 40,499,650,647.56
  5. Step 5: Solve for x
    x = 40,499,650,647.56/135,472
  6. Step 6: Final answer
    x = 298,952.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.