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Finding the Third Proportional to 77,886 and 170,186

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Solution

The third proportional to 77,886 and 170,186 is: 371,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,886 : 170,186 = 170,186 : x
  2. Step 2: Convert to fraction form
    77,886/170,186 = 170,186/x
  3. Step 3: Cross multiply
    77,886x = 170,186 × 170,186
  4. Step 4: Simplify right side
    77,886x = 28,963,274,596
  5. Step 5: Solve for x
    x = 28,963,274,596/77,886
  6. Step 6: Final answer
    x = 371,867.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.