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Finding the Third Proportional to 89,206 and 122,324

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Solution

The third proportional to 89,206 and 122,324 is: 167,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,206 : 122,324 = 122,324 : x
  2. Step 2: Convert to fraction form
    89,206/122,324 = 122,324/x
  3. Step 3: Cross multiply
    89,206x = 122,324 × 122,324
  4. Step 4: Simplify right side
    89,206x = 14,963,160,976
  5. Step 5: Solve for x
    x = 14,963,160,976/89,206
  6. Step 6: Final answer
    x = 167,737.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.