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Finding the Third Proportional to 108,383.06 and 166,720.78

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Solution

The third proportional to 108,383.06 and 166,720.78 is: 256,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,383.06 : 166,720.78 = 166,720.78 : x
  2. Step 2: Convert to fraction form
    108,383.06/166,720.78 = 166,720.78/x
  3. Step 3: Cross multiply
    108,383.06x = 166,720.78 × 166,720.78
  4. Step 4: Simplify right side
    108,383.06x = 27,795,818,900.61
  5. Step 5: Solve for x
    x = 27,795,818,900.61/108,383.06
  6. Step 6: Final answer
    x = 256,459.07

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Why These Related Problems?

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