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Finding the Third Proportional to 96,775 and 133,726

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Solution

The third proportional to 96,775 and 133,726 is: 184,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,775 : 133,726 = 133,726 : x
  2. Step 2: Convert to fraction form
    96,775/133,726 = 133,726/x
  3. Step 3: Cross multiply
    96,775x = 133,726 × 133,726
  4. Step 4: Simplify right side
    96,775x = 17,882,643,076
  5. Step 5: Solve for x
    x = 17,882,643,076/96,775
  6. Step 6: Final answer
    x = 184,785.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.