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Finding the Third Proportional to 93,720 and 142,902

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Solution

The third proportional to 93,720 and 142,902 is: 217,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,720 : 142,902 = 142,902 : x
  2. Step 2: Convert to fraction form
    93,720/142,902 = 142,902/x
  3. Step 3: Cross multiply
    93,720x = 142,902 × 142,902
  4. Step 4: Simplify right side
    93,720x = 20,420,981,604
  5. Step 5: Solve for x
    x = 20,420,981,604/93,720
  6. Step 6: Final answer
    x = 217,893.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.