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Finding the Third Proportional to 107,785.69 and 163,174.50

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Solution

The third proportional to 107,785.69 and 163,174.50 is: 247,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,785.69 : 163,174.50 = 163,174.50 : x
  2. Step 2: Convert to fraction form
    107,785.69/163,174.50 = 163,174.50/x
  3. Step 3: Cross multiply
    107,785.69x = 163,174.50 × 163,174.50
  4. Step 4: Simplify right side
    107,785.69x = 26,625,917,450.25
  5. Step 5: Solve for x
    x = 26,625,917,450.25/107,785.69
  6. Step 6: Final answer
    x = 247,026.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.