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Finding the Third Proportional to 68,058 and 88,965

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Solution

The third proportional to 68,058 and 88,965 is: 116,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,058 : 88,965 = 88,965 : x
  2. Step 2: Convert to fraction form
    68,058/88,965 = 88,965/x
  3. Step 3: Cross multiply
    68,058x = 88,965 × 88,965
  4. Step 4: Simplify right side
    68,058x = 7,914,771,225
  5. Step 5: Solve for x
    x = 7,914,771,225/68,058
  6. Step 6: Final answer
    x = 116,294.50

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.