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Finding the Third Proportional to 62,662 and 136,757

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Solution

The third proportional to 62,662 and 136,757 is: 298,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,662 : 136,757 = 136,757 : x
  2. Step 2: Convert to fraction form
    62,662/136,757 = 136,757/x
  3. Step 3: Cross multiply
    62,662x = 136,757 × 136,757
  4. Step 4: Simplify right side
    62,662x = 18,702,477,049
  5. Step 5: Solve for x
    x = 18,702,477,049/62,662
  6. Step 6: Final answer
    x = 298,466.01

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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.