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Finding the Third Proportional to 51,957 and 110,097

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Solution

The third proportional to 51,957 and 110,097 is: 233,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,957 : 110,097 = 110,097 : x
  2. Step 2: Convert to fraction form
    51,957/110,097 = 110,097/x
  3. Step 3: Cross multiply
    51,957x = 110,097 × 110,097
  4. Step 4: Simplify right side
    51,957x = 12,121,349,409
  5. Step 5: Solve for x
    x = 12,121,349,409/51,957
  6. Step 6: Final answer
    x = 233,295.79

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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.