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Finding the Third Proportional to 50,823 and 110,117

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Solution

The third proportional to 50,823 and 110,117 is: 238,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,823 : 110,117 = 110,117 : x
  2. Step 2: Convert to fraction form
    50,823/110,117 = 110,117/x
  3. Step 3: Cross multiply
    50,823x = 110,117 × 110,117
  4. Step 4: Simplify right side
    50,823x = 12,125,753,689
  5. Step 5: Solve for x
    x = 12,125,753,689/50,823
  6. Step 6: Final answer
    x = 238,587.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.