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Finding the Third Proportional to 50,617 and 75,515

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Solution

The third proportional to 50,617 and 75,515 is: 112,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,617 : 75,515 = 75,515 : x
  2. Step 2: Convert to fraction form
    50,617/75,515 = 75,515/x
  3. Step 3: Cross multiply
    50,617x = 75,515 × 75,515
  4. Step 4: Simplify right side
    50,617x = 5,702,515,225
  5. Step 5: Solve for x
    x = 5,702,515,225/50,617
  6. Step 6: Final answer
    x = 112,660.08

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Why These Related Problems?

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