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Finding the Third Proportional to 96,326 and 127,851

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Solution

The third proportional to 96,326 and 127,851 is: 169,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,326 : 127,851 = 127,851 : x
  2. Step 2: Convert to fraction form
    96,326/127,851 = 127,851/x
  3. Step 3: Cross multiply
    96,326x = 127,851 × 127,851
  4. Step 4: Simplify right side
    96,326x = 16,345,878,201
  5. Step 5: Solve for x
    x = 16,345,878,201/96,326
  6. Step 6: Final answer
    x = 169,693.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.