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Finding the Third Proportional to 72,210 and 173,949

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Solution

The third proportional to 72,210 and 173,949 is: 419,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,210 : 173,949 = 173,949 : x
  2. Step 2: Convert to fraction form
    72,210/173,949 = 173,949/x
  3. Step 3: Cross multiply
    72,210x = 173,949 × 173,949
  4. Step 4: Simplify right side
    72,210x = 30,258,254,601
  5. Step 5: Solve for x
    x = 30,258,254,601/72,210
  6. Step 6: Final answer
    x = 419,031.36

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.