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Finding the Third Proportional to 77,291 and 162,886

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Solution

The third proportional to 77,291 and 162,886 is: 343,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,291 : 162,886 = 162,886 : x
  2. Step 2: Convert to fraction form
    77,291/162,886 = 162,886/x
  3. Step 3: Cross multiply
    77,291x = 162,886 × 162,886
  4. Step 4: Simplify right side
    77,291x = 26,531,848,996
  5. Step 5: Solve for x
    x = 26,531,848,996/77,291
  6. Step 6: Final answer
    x = 343,272.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.