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Finding the Third Proportional to 70,968 and 109,113

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Solution

The third proportional to 70,968 and 109,113 is: 167,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,968 : 109,113 = 109,113 : x
  2. Step 2: Convert to fraction form
    70,968/109,113 = 109,113/x
  3. Step 3: Cross multiply
    70,968x = 109,113 × 109,113
  4. Step 4: Simplify right side
    70,968x = 11,905,646,769
  5. Step 5: Solve for x
    x = 11,905,646,769/70,968
  6. Step 6: Final answer
    x = 167,760.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.