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Finding the Third Proportional to 89,302 and 121,279

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Solution

The third proportional to 89,302 and 121,279 is: 164,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,302 : 121,279 = 121,279 : x
  2. Step 2: Convert to fraction form
    89,302/121,279 = 121,279/x
  3. Step 3: Cross multiply
    89,302x = 121,279 × 121,279
  4. Step 4: Simplify right side
    89,302x = 14,708,595,841
  5. Step 5: Solve for x
    x = 14,708,595,841/89,302
  6. Step 6: Final answer
    x = 164,706.23

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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.