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Finding the Third Proportional to 42,732.56 and 92,754.56

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Solution

The third proportional to 42,732.56 and 92,754.56 is: 201,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,732.56 : 92,754.56 = 92,754.56 : x
  2. Step 2: Convert to fraction form
    42,732.56/92,754.56 = 92,754.56/x
  3. Step 3: Cross multiply
    42,732.56x = 92,754.56 × 92,754.56
  4. Step 4: Simplify right side
    42,732.56x = 8,603,408,864.57
  5. Step 5: Solve for x
    x = 8,603,408,864.57/42,732.56
  6. Step 6: Final answer
    x = 201,331.45

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