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Finding the Third Proportional to 96,021 and 128,475

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Solution

The third proportional to 96,021 and 128,475 is: 171,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,021 : 128,475 = 128,475 : x
  2. Step 2: Convert to fraction form
    96,021/128,475 = 128,475/x
  3. Step 3: Cross multiply
    96,021x = 128,475 × 128,475
  4. Step 4: Simplify right side
    96,021x = 16,505,825,625
  5. Step 5: Solve for x
    x = 16,505,825,625/96,021
  6. Step 6: Final answer
    x = 171,898.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.