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Finding the Third Proportional to 79,185 and 170,747

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Solution

The third proportional to 79,185 and 170,747 is: 368,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,185 : 170,747 = 170,747 : x
  2. Step 2: Convert to fraction form
    79,185/170,747 = 170,747/x
  3. Step 3: Cross multiply
    79,185x = 170,747 × 170,747
  4. Step 4: Simplify right side
    79,185x = 29,154,538,009
  5. Step 5: Solve for x
    x = 29,154,538,009/79,185
  6. Step 6: Final answer
    x = 368,182.59

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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.