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Finding the Third Proportional to 95,563.50 and 133,661

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Solution

The third proportional to 95,563.50 and 133,661 is: 186,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,563.50 : 133,661 = 133,661 : x
  2. Step 2: Convert to fraction form
    95,563.50/133,661 = 133,661/x
  3. Step 3: Cross multiply
    95,563.50x = 133,661 × 133,661
  4. Step 4: Simplify right side
    95,563.50x = 17,865,262,921
  5. Step 5: Solve for x
    x = 17,865,262,921/95,563.50
  6. Step 6: Final answer
    x = 186,946.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.