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Finding the Third Proportional to 89,469 and 137,068

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Solution

The third proportional to 89,469 and 137,068 is: 209,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,469 : 137,068 = 137,068 : x
  2. Step 2: Convert to fraction form
    89,469/137,068 = 137,068/x
  3. Step 3: Cross multiply
    89,469x = 137,068 × 137,068
  4. Step 4: Simplify right side
    89,469x = 18,787,636,624
  5. Step 5: Solve for x
    x = 18,787,636,624/89,469
  6. Step 6: Final answer
    x = 209,990.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.