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Finding the Third Proportional to 59,678.44 and 81,097.88

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Solution

The third proportional to 59,678.44 and 81,097.88 is: 110,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,678.44 : 81,097.88 = 81,097.88 : x
  2. Step 2: Convert to fraction form
    59,678.44/81,097.88 = 81,097.88/x
  3. Step 3: Cross multiply
    59,678.44x = 81,097.88 × 81,097.88
  4. Step 4: Simplify right side
    59,678.44x = 6,576,865,329.52
  5. Step 5: Solve for x
    x = 6,576,865,329.52/59,678.44
  6. Step 6: Final answer
    x = 110,205.05

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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.