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Finding the Third Proportional to 42,692.06 and 92,766.94

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Solution

The third proportional to 42,692.06 and 92,766.94 is: 201,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,692.06 : 92,766.94 = 92,766.94 : x
  2. Step 2: Convert to fraction form
    42,692.06/92,766.94 = 92,766.94/x
  3. Step 3: Cross multiply
    42,692.06x = 92,766.94 × 92,766.94
  4. Step 4: Simplify right side
    42,692.06x = 8,605,704,693.13
  5. Step 5: Solve for x
    x = 8,605,704,693.13/42,692.06
  6. Step 6: Final answer
    x = 201,576.22

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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.