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Finding the Third Proportional to 50,520 and 75,468

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Solution

The third proportional to 50,520 and 75,468 is: 112,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,520 : 75,468 = 75,468 : x
  2. Step 2: Convert to fraction form
    50,520/75,468 = 75,468/x
  3. Step 3: Cross multiply
    50,520x = 75,468 × 75,468
  4. Step 4: Simplify right side
    50,520x = 5,695,419,024
  5. Step 5: Solve for x
    x = 5,695,419,024/50,520
  6. Step 6: Final answer
    x = 112,735.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.