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Finding the Third Proportional to 59,474.25 and 81,678.38

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Solution

The third proportional to 59,474.25 and 81,678.38 is: 112,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,474.25 : 81,678.38 = 81,678.38 : x
  2. Step 2: Convert to fraction form
    59,474.25/81,678.38 = 81,678.38/x
  3. Step 3: Cross multiply
    59,474.25x = 81,678.38 × 81,678.38
  4. Step 4: Simplify right side
    59,474.25x = 6,671,356,942.64
  5. Step 5: Solve for x
    x = 6,671,356,942.64/59,474.25
  6. Step 6: Final answer
    x = 112,172.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.