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Finding the Third Proportional to 62,862 and 86,505

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Solution

The third proportional to 62,862 and 86,505 is: 119,040.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,862 : 86,505 = 86,505 : x
  2. Step 2: Convert to fraction form
    62,862/86,505 = 86,505/x
  3. Step 3: Cross multiply
    62,862x = 86,505 × 86,505
  4. Step 4: Simplify right side
    62,862x = 7,483,115,025
  5. Step 5: Solve for x
    x = 7,483,115,025/62,862
  6. Step 6: Final answer
    x = 119,040.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.