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Finding the Third Proportional to 42,185 and 91,750

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Solution

The third proportional to 42,185 and 91,750 is: 199,551.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,185 : 91,750 = 91,750 : x
  2. Step 2: Convert to fraction form
    42,185/91,750 = 91,750/x
  3. Step 3: Cross multiply
    42,185x = 91,750 × 91,750
  4. Step 4: Simplify right side
    42,185x = 8,418,062,500
  5. Step 5: Solve for x
    x = 8,418,062,500/42,185
  6. Step 6: Final answer
    x = 199,551.08

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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.