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Finding the Third Proportional to 96,940 and 142,214

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Solution

The third proportional to 96,940 and 142,214 is: 208,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,940 : 142,214 = 142,214 : x
  2. Step 2: Convert to fraction form
    96,940/142,214 = 142,214/x
  3. Step 3: Cross multiply
    96,940x = 142,214 × 142,214
  4. Step 4: Simplify right side
    96,940x = 20,224,821,796
  5. Step 5: Solve for x
    x = 20,224,821,796/96,940
  6. Step 6: Final answer
    x = 208,632.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.