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Finding the Third Proportional to 79,137 and 170,759.25

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Solution

The third proportional to 79,137 and 170,759.25 is: 368,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,137 : 170,759.25 = 170,759.25 : x
  2. Step 2: Convert to fraction form
    79,137/170,759.25 = 170,759.25/x
  3. Step 3: Cross multiply
    79,137x = 170,759.25 × 170,759.25
  4. Step 4: Simplify right side
    79,137x = 29,158,721,460.56
  5. Step 5: Solve for x
    x = 29,158,721,460.56/79,137
  6. Step 6: Final answer
    x = 368,458.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.