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Finding the Third Proportional to 50,158 and 73,455

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Solution

The third proportional to 50,158 and 73,455 is: 107,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,158 : 73,455 = 73,455 : x
  2. Step 2: Convert to fraction form
    50,158/73,455 = 73,455/x
  3. Step 3: Cross multiply
    50,158x = 73,455 × 73,455
  4. Step 4: Simplify right side
    50,158x = 5,395,637,025
  5. Step 5: Solve for x
    x = 5,395,637,025/50,158
  6. Step 6: Final answer
    x = 107,572.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.