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Finding the Third Proportional to 96,936 and 142,208

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Solution

The third proportional to 96,936 and 142,208 is: 208,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,936 : 142,208 = 142,208 : x
  2. Step 2: Convert to fraction form
    96,936/142,208 = 142,208/x
  3. Step 3: Cross multiply
    96,936x = 142,208 × 142,208
  4. Step 4: Simplify right side
    96,936x = 20,223,115,264
  5. Step 5: Solve for x
    x = 20,223,115,264/96,936
  6. Step 6: Final answer
    x = 208,623.37

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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.