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Finding the Third Proportional to 132,627.38 and 202,813.88

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Solution

The third proportional to 132,627.38 and 202,813.88 is: 310,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,627.38 : 202,813.88 = 202,813.88 : x
  2. Step 2: Convert to fraction form
    132,627.38/202,813.88 = 202,813.88/x
  3. Step 3: Cross multiply
    132,627.38x = 202,813.88 × 202,813.88
  4. Step 4: Simplify right side
    132,627.38x = 41,133,467,892.52
  5. Step 5: Solve for x
    x = 41,133,467,892.52/132,627.38
  6. Step 6: Final answer
    x = 310,143.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.