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Finding the Third Proportional to 89,324 and 121,306

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Solution

The third proportional to 89,324 and 121,306 is: 164,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,324 : 121,306 = 121,306 : x
  2. Step 2: Convert to fraction form
    89,324/121,306 = 121,306/x
  3. Step 3: Cross multiply
    89,324x = 121,306 × 121,306
  4. Step 4: Simplify right side
    89,324x = 14,715,145,636
  5. Step 5: Solve for x
    x = 14,715,145,636/89,324
  6. Step 6: Final answer
    x = 164,738.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.