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Finding the Third Proportional to 41,058 and 89,700

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Solution

The third proportional to 41,058 and 89,700 is: 195,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,058 : 89,700 = 89,700 : x
  2. Step 2: Convert to fraction form
    41,058/89,700 = 89,700/x
  3. Step 3: Cross multiply
    41,058x = 89,700 × 89,700
  4. Step 4: Simplify right side
    41,058x = 8,046,090,000
  5. Step 5: Solve for x
    x = 8,046,090,000/41,058
  6. Step 6: Final answer
    x = 195,968.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.