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Finding the Third Proportional to 92,278.41 and 131,957.44

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Solution

The third proportional to 92,278.41 and 131,957.44 is: 188,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,278.41 : 131,957.44 = 131,957.44 : x
  2. Step 2: Convert to fraction form
    92,278.41/131,957.44 = 131,957.44/x
  3. Step 3: Cross multiply
    92,278.41x = 131,957.44 × 131,957.44
  4. Step 4: Simplify right side
    92,278.41x = 17,412,765,311.57
  5. Step 5: Solve for x
    x = 17,412,765,311.57/92,278.41
  6. Step 6: Final answer
    x = 188,698.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.