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Finding the Third Proportional to 42,387.75 and 92,058.75

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Solution

The third proportional to 42,387.75 and 92,058.75 is: 199,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,387.75 : 92,058.75 = 92,058.75 : x
  2. Step 2: Convert to fraction form
    42,387.75/92,058.75 = 92,058.75/x
  3. Step 3: Cross multiply
    42,387.75x = 92,058.75 × 92,058.75
  4. Step 4: Simplify right side
    42,387.75x = 8,474,813,451.56
  5. Step 5: Solve for x
    x = 8,474,813,451.56/42,387.75
  6. Step 6: Final answer
    x = 199,935.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.