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Finding the Third Proportional to 68,082 and 97,858

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Solution

The third proportional to 68,082 and 97,858 is: 140,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,082 : 97,858 = 97,858 : x
  2. Step 2: Convert to fraction form
    68,082/97,858 = 97,858/x
  3. Step 3: Cross multiply
    68,082x = 97,858 × 97,858
  4. Step 4: Simplify right side
    68,082x = 9,576,188,164
  5. Step 5: Solve for x
    x = 9,576,188,164/68,082
  6. Step 6: Final answer
    x = 140,656.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.