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Finding the Third Proportional to 89,584 and 135,523

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Solution

The third proportional to 89,584 and 135,523 is: 205,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,584 : 135,523 = 135,523 : x
  2. Step 2: Convert to fraction form
    89,584/135,523 = 135,523/x
  3. Step 3: Cross multiply
    89,584x = 135,523 × 135,523
  4. Step 4: Simplify right side
    89,584x = 18,366,483,529
  5. Step 5: Solve for x
    x = 18,366,483,529/89,584
  6. Step 6: Final answer
    x = 205,019.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.