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Finding the Third Proportional to 96,942 and 142,217

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Solution

The third proportional to 96,942 and 142,217 is: 208,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,942 : 142,217 = 142,217 : x
  2. Step 2: Convert to fraction form
    96,942/142,217 = 142,217/x
  3. Step 3: Cross multiply
    96,942x = 142,217 × 142,217
  4. Step 4: Simplify right side
    96,942x = 20,225,675,089
  5. Step 5: Solve for x
    x = 20,225,675,089/96,942
  6. Step 6: Final answer
    x = 208,636.87

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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.