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Finding the Third Proportional to 54,136.66 and 81,837.50

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Solution

The third proportional to 54,136.66 and 81,837.50 is: 123,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,136.66 : 81,837.50 = 81,837.50 : x
  2. Step 2: Convert to fraction form
    54,136.66/81,837.50 = 81,837.50/x
  3. Step 3: Cross multiply
    54,136.66x = 81,837.50 × 81,837.50
  4. Step 4: Simplify right side
    54,136.66x = 6,697,376,835.82
  5. Step 5: Solve for x
    x = 6,697,376,835.82/54,136.66
  6. Step 6: Final answer
    x = 123,712.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.