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Finding the Third Proportional to 89,686 and 134,742

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Solution

The third proportional to 89,686 and 134,742 is: 202,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,686 : 134,742 = 134,742 : x
  2. Step 2: Convert to fraction form
    89,686/134,742 = 134,742/x
  3. Step 3: Cross multiply
    89,686x = 134,742 × 134,742
  4. Step 4: Simplify right side
    89,686x = 18,155,406,564
  5. Step 5: Solve for x
    x = 18,155,406,564/89,686
  6. Step 6: Final answer
    x = 202,433.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.