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Finding the Third Proportional to 50,250 and 76,023

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Solution

The third proportional to 50,250 and 76,023 is: 115,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,250 : 76,023 = 76,023 : x
  2. Step 2: Convert to fraction form
    50,250/76,023 = 76,023/x
  3. Step 3: Cross multiply
    50,250x = 76,023 × 76,023
  4. Step 4: Simplify right side
    50,250x = 5,779,496,529
  5. Step 5: Solve for x
    x = 5,779,496,529/50,250
  6. Step 6: Final answer
    x = 115,014.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.