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Finding the Third Proportional to 72,171 and 108,575.44

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Solution

The third proportional to 72,171 and 108,575.44 is: 163,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,171 : 108,575.44 = 108,575.44 : x
  2. Step 2: Convert to fraction form
    72,171/108,575.44 = 108,575.44/x
  3. Step 3: Cross multiply
    72,171x = 108,575.44 × 108,575.44
  4. Step 4: Simplify right side
    72,171x = 11,788,625,628.32
  5. Step 5: Solve for x
    x = 11,788,625,628.32/72,171
  6. Step 6: Final answer
    x = 163,342.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.