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Finding the Third Proportional to 42,138.75 and 92,752.13

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Solution

The third proportional to 42,138.75 and 92,752.13 is: 204,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.75 : 92,752.13 = 92,752.13 : x
  2. Step 2: Convert to fraction form
    42,138.75/92,752.13 = 92,752.13/x
  3. Step 3: Cross multiply
    42,138.75x = 92,752.13 × 92,752.13
  4. Step 4: Simplify right side
    42,138.75x = 8,602,956,692.02
  5. Step 5: Solve for x
    x = 8,602,956,692.02/42,138.75
  6. Step 6: Final answer
    x = 204,157.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.