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Finding the Third Proportional to 81,950.06 and 126,564.19

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Solution

The third proportional to 81,950.06 and 126,564.19 is: 195,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,950.06 : 126,564.19 = 126,564.19 : x
  2. Step 2: Convert to fraction form
    81,950.06/126,564.19 = 126,564.19/x
  3. Step 3: Cross multiply
    81,950.06x = 126,564.19 × 126,564.19
  4. Step 4: Simplify right side
    81,950.06x = 16,018,493,557.54
  5. Step 5: Solve for x
    x = 16,018,493,557.54/81,950.06
  6. Step 6: Final answer
    x = 195,466.52

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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.