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Finding the Third Proportional to 77,020.88 and 104,646.94

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Solution

The third proportional to 77,020.88 and 104,646.94 is: 142,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,020.88 : 104,646.94 = 104,646.94 : x
  2. Step 2: Convert to fraction form
    77,020.88/104,646.94 = 104,646.94/x
  3. Step 3: Cross multiply
    77,020.88x = 104,646.94 × 104,646.94
  4. Step 4: Simplify right side
    77,020.88x = 10,950,981,528.13
  5. Step 5: Solve for x
    x = 10,950,981,528.13/77,020.88
  6. Step 6: Final answer
    x = 142,181.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.