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Finding the Third Proportional to 89,211 and 122,332

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Solution

The third proportional to 89,211 and 122,332 is: 167,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,211 : 122,332 = 122,332 : x
  2. Step 2: Convert to fraction form
    89,211/122,332 = 122,332/x
  3. Step 3: Cross multiply
    89,211x = 122,332 × 122,332
  4. Step 4: Simplify right side
    89,211x = 14,965,118,224
  5. Step 5: Solve for x
    x = 14,965,118,224/89,211
  6. Step 6: Final answer
    x = 167,749.70

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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.