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Finding the Third Proportional to 42,234.75 and 92,304.56

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Solution

The third proportional to 42,234.75 and 92,304.56 is: 201,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,234.75 : 92,304.56 = 92,304.56 : x
  2. Step 2: Convert to fraction form
    42,234.75/92,304.56 = 92,304.56/x
  3. Step 3: Cross multiply
    42,234.75x = 92,304.56 × 92,304.56
  4. Step 4: Simplify right side
    42,234.75x = 8,520,132,258.32
  5. Step 5: Solve for x
    x = 8,520,132,258.32/42,234.75
  6. Step 6: Final answer
    x = 201,732.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.