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Finding the Third Proportional to 77,462.58 and 164,224.97

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Solution

The third proportional to 77,462.58 and 164,224.97 is: 348,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,462.58 : 164,224.97 = 164,224.97 : x
  2. Step 2: Convert to fraction form
    77,462.58/164,224.97 = 164,224.97/x
  3. Step 3: Cross multiply
    77,462.58x = 164,224.97 × 164,224.97
  4. Step 4: Simplify right side
    77,462.58x = 26,969,840,360.94
  5. Step 5: Solve for x
    x = 26,969,840,360.94/77,462.58
  6. Step 6: Final answer
    x = 348,166.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.