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Finding the Third Proportional to 95,661 and 133,741.13

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Solution

The third proportional to 95,661 and 133,741.13 is: 186,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,661 : 133,741.13 = 133,741.13 : x
  2. Step 2: Convert to fraction form
    95,661/133,741.13 = 133,741.13/x
  3. Step 3: Cross multiply
    95,661x = 133,741.13 × 133,741.13
  4. Step 4: Simplify right side
    95,661x = 17,886,688,516.27
  5. Step 5: Solve for x
    x = 17,886,688,516.27/95,661
  6. Step 6: Final answer
    x = 186,979.94

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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.