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Finding the Third Proportional to 93,392 and 144,851

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Solution

The third proportional to 93,392 and 144,851 is: 224,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,392 : 144,851 = 144,851 : x
  2. Step 2: Convert to fraction form
    93,392/144,851 = 144,851/x
  3. Step 3: Cross multiply
    93,392x = 144,851 × 144,851
  4. Step 4: Simplify right side
    93,392x = 20,981,812,201
  5. Step 5: Solve for x
    x = 20,981,812,201/93,392
  6. Step 6: Final answer
    x = 224,663.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.