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Finding the Third Proportional to 76,704.75 and 164,071.13

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Solution

The third proportional to 76,704.75 and 164,071.13 is: 350,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,704.75 : 164,071.13 = 164,071.13 : x
  2. Step 2: Convert to fraction form
    76,704.75/164,071.13 = 164,071.13/x
  3. Step 3: Cross multiply
    76,704.75x = 164,071.13 × 164,071.13
  4. Step 4: Simplify right side
    76,704.75x = 26,919,334,058.77
  5. Step 5: Solve for x
    x = 26,919,334,058.77/76,704.75
  6. Step 6: Final answer
    x = 350,947.42

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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.