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Finding the Third Proportional to 41,602 and 89,988

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Solution

The third proportional to 41,602 and 89,988 is: 194,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,602 : 89,988 = 89,988 : x
  2. Step 2: Convert to fraction form
    41,602/89,988 = 89,988/x
  3. Step 3: Cross multiply
    41,602x = 89,988 × 89,988
  4. Step 4: Simplify right side
    41,602x = 8,097,840,144
  5. Step 5: Solve for x
    x = 8,097,840,144/41,602
  6. Step 6: Final answer
    x = 194,650.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.