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Finding the Third Proportional to 45,167 and 67,097

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Solution

The third proportional to 45,167 and 67,097 is: 99,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,167 : 67,097 = 67,097 : x
  2. Step 2: Convert to fraction form
    45,167/67,097 = 67,097/x
  3. Step 3: Cross multiply
    45,167x = 67,097 × 67,097
  4. Step 4: Simplify right side
    45,167x = 4,502,007,409
  5. Step 5: Solve for x
    x = 4,502,007,409/45,167
  6. Step 6: Final answer
    x = 99,674.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.