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Finding the Third Proportional to 51,077 and 111,550

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Solution

The third proportional to 51,077 and 111,550 is: 243,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,077 : 111,550 = 111,550 : x
  2. Step 2: Convert to fraction form
    51,077/111,550 = 111,550/x
  3. Step 3: Cross multiply
    51,077x = 111,550 × 111,550
  4. Step 4: Simplify right side
    51,077x = 12,443,402,500
  5. Step 5: Solve for x
    x = 12,443,402,500/51,077
  6. Step 6: Final answer
    x = 243,620.47

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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.