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Finding the Third Proportional to 50,962 and 78,715

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Solution

The third proportional to 50,962 and 78,715 is: 121,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,962 : 78,715 = 78,715 : x
  2. Step 2: Convert to fraction form
    50,962/78,715 = 78,715/x
  3. Step 3: Cross multiply
    50,962x = 78,715 × 78,715
  4. Step 4: Simplify right side
    50,962x = 6,196,051,225
  5. Step 5: Solve for x
    x = 6,196,051,225/50,962
  6. Step 6: Final answer
    x = 121,581.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.