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Finding the Third Proportional to 51,235 and 108,550

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Solution

The third proportional to 51,235 and 108,550 is: 229,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,235 : 108,550 = 108,550 : x
  2. Step 2: Convert to fraction form
    51,235/108,550 = 108,550/x
  3. Step 3: Cross multiply
    51,235x = 108,550 × 108,550
  4. Step 4: Simplify right side
    51,235x = 11,783,102,500
  5. Step 5: Solve for x
    x = 11,783,102,500/51,235
  6. Step 6: Final answer
    x = 229,981.51

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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.