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Finding the Third Proportional to 71,097 and 107,097

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Solution

The third proportional to 71,097 and 107,097 is: 161,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,097 : 107,097 = 107,097 : x
  2. Step 2: Convert to fraction form
    71,097/107,097 = 107,097/x
  3. Step 3: Cross multiply
    71,097x = 107,097 × 107,097
  4. Step 4: Simplify right side
    71,097x = 11,469,767,409
  5. Step 5: Solve for x
    x = 11,469,767,409/71,097
  6. Step 6: Final answer
    x = 161,325.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.