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Finding the Third Proportional to 70,566 and 100,305

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Solution

The third proportional to 70,566 and 100,305 is: 142,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,566 : 100,305 = 100,305 : x
  2. Step 2: Convert to fraction form
    70,566/100,305 = 100,305/x
  3. Step 3: Cross multiply
    70,566x = 100,305 × 100,305
  4. Step 4: Simplify right side
    70,566x = 10,061,093,025
  5. Step 5: Solve for x
    x = 10,061,093,025/70,566
  6. Step 6: Final answer
    x = 142,577.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.