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Finding the Third Proportional to 70,773.75 and 108,617.63

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Solution

The third proportional to 70,773.75 and 108,617.63 is: 166,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,773.75 : 108,617.63 = 108,617.63 : x
  2. Step 2: Convert to fraction form
    70,773.75/108,617.63 = 108,617.63/x
  3. Step 3: Cross multiply
    70,773.75x = 108,617.63 × 108,617.63
  4. Step 4: Simplify right side
    70,773.75x = 11,797,788,460.64
  5. Step 5: Solve for x
    x = 11,797,788,460.64/70,773.75
  6. Step 6: Final answer
    x = 166,697.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.