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Finding the Third Proportional to 70,834 and 96,247

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Solution

The third proportional to 70,834 and 96,247 is: 130,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,834 : 96,247 = 96,247 : x
  2. Step 2: Convert to fraction form
    70,834/96,247 = 96,247/x
  3. Step 3: Cross multiply
    70,834x = 96,247 × 96,247
  4. Step 4: Simplify right side
    70,834x = 9,263,485,009
  5. Step 5: Solve for x
    x = 9,263,485,009/70,834
  6. Step 6: Final answer
    x = 130,777.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.