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Finding the Third Proportional to 73,071 and 89,013

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Solution

The third proportional to 73,071 and 89,013 is: 108,433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,071 : 89,013 = 89,013 : x
  2. Step 2: Convert to fraction form
    73,071/89,013 = 89,013/x
  3. Step 3: Cross multiply
    73,071x = 89,013 × 89,013
  4. Step 4: Simplify right side
    73,071x = 7,923,314,169
  5. Step 5: Solve for x
    x = 7,923,314,169/73,071
  6. Step 6: Final answer
    x = 108,433.09

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.