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Finding the Third Proportional to 68,181.75 and 97,601.25

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Solution

The third proportional to 68,181.75 and 97,601.25 is: 139,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,181.75 : 97,601.25 = 97,601.25 : x
  2. Step 2: Convert to fraction form
    68,181.75/97,601.25 = 97,601.25/x
  3. Step 3: Cross multiply
    68,181.75x = 97,601.25 × 97,601.25
  4. Step 4: Simplify right side
    68,181.75x = 9,526,004,001.56
  5. Step 5: Solve for x
    x = 9,526,004,001.56/68,181.75
  6. Step 6: Final answer
    x = 139,714.87

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.