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Finding the Third Proportional to 43,612 and 97,092

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Solution

The third proportional to 43,612 and 97,092 is: 216,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,612 : 97,092 = 97,092 : x
  2. Step 2: Convert to fraction form
    43,612/97,092 = 97,092/x
  3. Step 3: Cross multiply
    43,612x = 97,092 × 97,092
  4. Step 4: Simplify right side
    43,612x = 9,426,856,464
  5. Step 5: Solve for x
    x = 9,426,856,464/43,612
  6. Step 6: Final answer
    x = 216,152.81

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.