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Finding the Third Proportional to 80,594 and 113,295

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Solution

The third proportional to 80,594 and 113,295 is: 159,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,594 : 113,295 = 113,295 : x
  2. Step 2: Convert to fraction form
    80,594/113,295 = 113,295/x
  3. Step 3: Cross multiply
    80,594x = 113,295 × 113,295
  4. Step 4: Simplify right side
    80,594x = 12,835,757,025
  5. Step 5: Solve for x
    x = 12,835,757,025/80,594
  6. Step 6: Final answer
    x = 159,264.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.