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Finding the Third Proportional to 89,066.50 and 133,154

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Solution

The third proportional to 89,066.50 and 133,154 is: 199,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,066.50 : 133,154 = 133,154 : x
  2. Step 2: Convert to fraction form
    89,066.50/133,154 = 133,154/x
  3. Step 3: Cross multiply
    89,066.50x = 133,154 × 133,154
  4. Step 4: Simplify right side
    89,066.50x = 17,729,987,716
  5. Step 5: Solve for x
    x = 17,729,987,716/89,066.50
  6. Step 6: Final answer
    x = 199,064.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.