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Finding the Third Proportional to 89,288 and 121,265

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Solution

The third proportional to 89,288 and 121,265 is: 164,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,288 : 121,265 = 121,265 : x
  2. Step 2: Convert to fraction form
    89,288/121,265 = 121,265/x
  3. Step 3: Cross multiply
    89,288x = 121,265 × 121,265
  4. Step 4: Simplify right side
    89,288x = 14,705,200,225
  5. Step 5: Solve for x
    x = 14,705,200,225/89,288
  6. Step 6: Final answer
    x = 164,694.03

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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.