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Finding the Third Proportional to 75,350.25 and 102,614.06

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Solution

The third proportional to 75,350.25 and 102,614.06 is: 139,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,350.25 : 102,614.06 = 102,614.06 : x
  2. Step 2: Convert to fraction form
    75,350.25/102,614.06 = 102,614.06/x
  3. Step 3: Cross multiply
    75,350.25x = 102,614.06 × 102,614.06
  4. Step 4: Simplify right side
    75,350.25x = 10,529,645,822.75
  5. Step 5: Solve for x
    x = 10,529,645,822.75/75,350.25
  6. Step 6: Final answer
    x = 139,742.68

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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.