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Finding the Third Proportional to 51,921 and 112,590

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Solution

The third proportional to 51,921 and 112,590 is: 244,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,921 : 112,590 = 112,590 : x
  2. Step 2: Convert to fraction form
    51,921/112,590 = 112,590/x
  3. Step 3: Cross multiply
    51,921x = 112,590 × 112,590
  4. Step 4: Simplify right side
    51,921x = 12,676,508,100
  5. Step 5: Solve for x
    x = 12,676,508,100/51,921
  6. Step 6: Final answer
    x = 244,149.92

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