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Finding the Third Proportional to 77,273.58 and 164,753.58

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Solution

The third proportional to 77,273.58 and 164,753.58 is: 351,268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,273.58 : 164,753.58 = 164,753.58 : x
  2. Step 2: Convert to fraction form
    77,273.58/164,753.58 = 164,753.58/x
  3. Step 3: Cross multiply
    77,273.58x = 164,753.58 × 164,753.58
  4. Step 4: Simplify right side
    77,273.58x = 27,143,741,504.99
  5. Step 5: Solve for x
    x = 27,143,741,504.99/77,273.58
  6. Step 6: Final answer
    x = 351,268.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.