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Finding the Third Proportional to 132,023.75 and 285,093

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Solution

The third proportional to 132,023.75 and 285,093 is: 615,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,023.75 : 285,093 = 285,093 : x
  2. Step 2: Convert to fraction form
    132,023.75/285,093 = 285,093/x
  3. Step 3: Cross multiply
    132,023.75x = 285,093 × 285,093
  4. Step 4: Simplify right side
    132,023.75x = 81,278,018,649
  5. Step 5: Solve for x
    x = 81,278,018,649/132,023.75
  6. Step 6: Final answer
    x = 615,631.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.