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Finding the Third Proportional to 70,427 and 109,961

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Solution

The third proportional to 70,427 and 109,961 is: 171,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,427 : 109,961 = 109,961 : x
  2. Step 2: Convert to fraction form
    70,427/109,961 = 109,961/x
  3. Step 3: Cross multiply
    70,427x = 109,961 × 109,961
  4. Step 4: Simplify right side
    70,427x = 12,091,421,521
  5. Step 5: Solve for x
    x = 12,091,421,521/70,427
  6. Step 6: Final answer
    x = 171,687.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.