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Finding the Third Proportional to 71,233 and 112,795

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Solution

The third proportional to 71,233 and 112,795 is: 178,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,233 : 112,795 = 112,795 : x
  2. Step 2: Convert to fraction form
    71,233/112,795 = 112,795/x
  3. Step 3: Cross multiply
    71,233x = 112,795 × 112,795
  4. Step 4: Simplify right side
    71,233x = 12,722,712,025
  5. Step 5: Solve for x
    x = 12,722,712,025/71,233
  6. Step 6: Final answer
    x = 178,606.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.