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Finding the Third Proportional to 59,659.31 and 128,654.44

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Solution

The third proportional to 59,659.31 and 128,654.44 is: 277,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,659.31 : 128,654.44 = 128,654.44 : x
  2. Step 2: Convert to fraction form
    59,659.31/128,654.44 = 128,654.44/x
  3. Step 3: Cross multiply
    59,659.31x = 128,654.44 × 128,654.44
  4. Step 4: Simplify right side
    59,659.31x = 16,551,964,288.44
  5. Step 5: Solve for x
    x = 16,551,964,288.44/59,659.31
  6. Step 6: Final answer
    x = 277,441.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.