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Finding the Third Proportional to 93,438 and 142,902

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Solution

The third proportional to 93,438 and 142,902 is: 218,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,438 : 142,902 = 142,902 : x
  2. Step 2: Convert to fraction form
    93,438/142,902 = 142,902/x
  3. Step 3: Cross multiply
    93,438x = 142,902 × 142,902
  4. Step 4: Simplify right side
    93,438x = 20,420,981,604
  5. Step 5: Solve for x
    x = 20,420,981,604/93,438
  6. Step 6: Final answer
    x = 218,551.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.