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Finding the Third Proportional to 96,828 and 133,338

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Solution

The third proportional to 96,828 and 133,338 is: 183,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,828 : 133,338 = 133,338 : x
  2. Step 2: Convert to fraction form
    96,828/133,338 = 133,338/x
  3. Step 3: Cross multiply
    96,828x = 133,338 × 133,338
  4. Step 4: Simplify right side
    96,828x = 17,779,022,244
  5. Step 5: Solve for x
    x = 17,779,022,244/96,828
  6. Step 6: Final answer
    x = 183,614.47

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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.