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Finding the Third Proportional to 62,246 and 81,705

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Solution

The third proportional to 62,246 and 81,705 is: 107,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,246 : 81,705 = 81,705 : x
  2. Step 2: Convert to fraction form
    62,246/81,705 = 81,705/x
  3. Step 3: Cross multiply
    62,246x = 81,705 × 81,705
  4. Step 4: Simplify right side
    62,246x = 6,675,707,025
  5. Step 5: Solve for x
    x = 6,675,707,025/62,246
  6. Step 6: Final answer
    x = 107,247.16

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