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Finding the Third Proportional to 89,004.75 and 133,524.94

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Solution

The third proportional to 89,004.75 and 133,524.94 is: 200,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,004.75 : 133,524.94 = 133,524.94 : x
  2. Step 2: Convert to fraction form
    89,004.75/133,524.94 = 133,524.94/x
  3. Step 3: Cross multiply
    89,004.75x = 133,524.94 × 133,524.94
  4. Step 4: Simplify right side
    89,004.75x = 17,828,908,934.38
  5. Step 5: Solve for x
    x = 17,828,908,934.38/89,004.75
  6. Step 6: Final answer
    x = 200,314.13

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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.