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Finding the Third Proportional to 77,046 and 165,756

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Solution

The third proportional to 77,046 and 165,756 is: 356,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,046 : 165,756 = 165,756 : x
  2. Step 2: Convert to fraction form
    77,046/165,756 = 165,756/x
  3. Step 3: Cross multiply
    77,046x = 165,756 × 165,756
  4. Step 4: Simplify right side
    77,046x = 27,475,051,536
  5. Step 5: Solve for x
    x = 27,475,051,536/77,046
  6. Step 6: Final answer
    x = 356,605.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.