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Finding the Third Proportional to 96,020 and 150,326

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Solution

The third proportional to 96,020 and 150,326 is: 235,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,020 : 150,326 = 150,326 : x
  2. Step 2: Convert to fraction form
    96,020/150,326 = 150,326/x
  3. Step 3: Cross multiply
    96,020x = 150,326 × 150,326
  4. Step 4: Simplify right side
    96,020x = 22,597,906,276
  5. Step 5: Solve for x
    x = 22,597,906,276/96,020
  6. Step 6: Final answer
    x = 235,345.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.