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Finding the Third Proportional to 77,786 and 170,151

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Solution

The third proportional to 77,786 and 170,151 is: 372,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,786 : 170,151 = 170,151 : x
  2. Step 2: Convert to fraction form
    77,786/170,151 = 170,151/x
  3. Step 3: Cross multiply
    77,786x = 170,151 × 170,151
  4. Step 4: Simplify right side
    77,786x = 28,951,362,801
  5. Step 5: Solve for x
    x = 28,951,362,801/77,786
  6. Step 6: Final answer
    x = 372,192.46

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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.