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Finding the Third Proportional to 132,149.25 and 201,322.13

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Solution

The third proportional to 132,149.25 and 201,322.13 is: 306,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,149.25 : 201,322.13 = 201,322.13 : x
  2. Step 2: Convert to fraction form
    132,149.25/201,322.13 = 201,322.13/x
  3. Step 3: Cross multiply
    132,149.25x = 201,322.13 × 201,322.13
  4. Step 4: Simplify right side
    132,149.25x = 40,530,598,014.52
  5. Step 5: Solve for x
    x = 40,530,598,014.52/132,149.25
  6. Step 6: Final answer
    x = 306,703.20

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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.