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Finding the Third Proportional to 75,357.84 and 103,807.83

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Solution

The third proportional to 75,357.84 and 103,807.83 is: 142,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,357.84 : 103,807.83 = 103,807.83 : x
  2. Step 2: Convert to fraction form
    75,357.84/103,807.83 = 103,807.83/x
  3. Step 3: Cross multiply
    75,357.84x = 103,807.83 × 103,807.83
  4. Step 4: Simplify right side
    75,357.84x = 10,776,065,180.03
  5. Step 5: Solve for x
    x = 10,776,065,180.03/75,357.84
  6. Step 6: Final answer
    x = 142,998.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.