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Finding the Third Proportional to 132,738.75 and 202,145.63

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Solution

The third proportional to 132,738.75 and 202,145.63 is: 307,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,738.75 : 202,145.63 = 202,145.63 : x
  2. Step 2: Convert to fraction form
    132,738.75/202,145.63 = 202,145.63/x
  3. Step 3: Cross multiply
    132,738.75x = 202,145.63 × 202,145.63
  4. Step 4: Simplify right side
    132,738.75x = 40,862,853,706.64
  5. Step 5: Solve for x
    x = 40,862,853,706.64/132,738.75
  6. Step 6: Final answer
    x = 307,844.20

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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.