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Finding the Third Proportional to 50,714 and 74,535

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Solution

The third proportional to 50,714 and 74,535 is: 109,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,714 : 74,535 = 74,535 : x
  2. Step 2: Convert to fraction form
    50,714/74,535 = 74,535/x
  3. Step 3: Cross multiply
    50,714x = 74,535 × 74,535
  4. Step 4: Simplify right side
    50,714x = 5,555,466,225
  5. Step 5: Solve for x
    x = 5,555,466,225/50,714
  6. Step 6: Final answer
    x = 109,545.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.