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Finding the Third Proportional to 89,584 and 135,535

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Solution

The third proportional to 89,584 and 135,535 is: 205,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,584 : 135,535 = 135,535 : x
  2. Step 2: Convert to fraction form
    89,584/135,535 = 135,535/x
  3. Step 3: Cross multiply
    89,584x = 135,535 × 135,535
  4. Step 4: Simplify right side
    89,584x = 18,369,736,225
  5. Step 5: Solve for x
    x = 18,369,736,225/89,584
  6. Step 6: Final answer
    x = 205,055.99

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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.