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Finding the Third Proportional to 76,729.13 and 164,117.25

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Solution

The third proportional to 76,729.13 and 164,117.25 is: 351,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,729.13 : 164,117.25 = 164,117.25 : x
  2. Step 2: Convert to fraction form
    76,729.13/164,117.25 = 164,117.25/x
  3. Step 3: Cross multiply
    76,729.13x = 164,117.25 × 164,117.25
  4. Step 4: Simplify right side
    76,729.13x = 26,934,471,747.56
  5. Step 5: Solve for x
    x = 26,934,471,747.56/76,729.13
  6. Step 6: Final answer
    x = 351,033.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.