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Finding the Third Proportional to 50,534 and 109,915

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Solution

The third proportional to 50,534 and 109,915 is: 239,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,534 : 109,915 = 109,915 : x
  2. Step 2: Convert to fraction form
    50,534/109,915 = 109,915/x
  3. Step 3: Cross multiply
    50,534x = 109,915 × 109,915
  4. Step 4: Simplify right side
    50,534x = 12,081,307,225
  5. Step 5: Solve for x
    x = 12,081,307,225/50,534
  6. Step 6: Final answer
    x = 239,072.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.