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Finding the Third Proportional to 51,988 and 110,110

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Solution

The third proportional to 51,988 and 110,110 is: 233,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988 : 110,110 = 110,110 : x
  2. Step 2: Convert to fraction form
    51,988/110,110 = 110,110/x
  3. Step 3: Cross multiply
    51,988x = 110,110 × 110,110
  4. Step 4: Simplify right side
    51,988x = 12,124,212,100
  5. Step 5: Solve for x
    x = 12,124,212,100/51,988
  6. Step 6: Final answer
    x = 233,211.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.