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Finding the Third Proportional to 89,436 and 144,846

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Solution

The third proportional to 89,436 and 144,846 is: 234,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,436 : 144,846 = 144,846 : x
  2. Step 2: Convert to fraction form
    89,436/144,846 = 144,846/x
  3. Step 3: Cross multiply
    89,436x = 144,846 × 144,846
  4. Step 4: Simplify right side
    89,436x = 20,980,363,716
  5. Step 5: Solve for x
    x = 20,980,363,716/89,436
  6. Step 6: Final answer
    x = 234,585.22

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.