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Finding the Third Proportional to 72,922.78 and 82,764.28

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Solution

The third proportional to 72,922.78 and 82,764.28 is: 93,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,922.78 : 82,764.28 = 82,764.28 : x
  2. Step 2: Convert to fraction form
    72,922.78/82,764.28 = 82,764.28/x
  3. Step 3: Cross multiply
    72,922.78x = 82,764.28 × 82,764.28
  4. Step 4: Simplify right side
    72,922.78x = 6,849,926,250.83
  5. Step 5: Solve for x
    x = 6,849,926,250.83/72,922.78
  6. Step 6: Final answer
    x = 93,933.97

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.