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Finding the Third Proportional to 93,574 and 192,650

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Solution

The third proportional to 93,574 and 192,650 is: 396,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,574 : 192,650 = 192,650 : x
  2. Step 2: Convert to fraction form
    93,574/192,650 = 192,650/x
  3. Step 3: Cross multiply
    93,574x = 192,650 × 192,650
  4. Step 4: Simplify right side
    93,574x = 37,114,022,500
  5. Step 5: Solve for x
    x = 37,114,022,500/93,574
  6. Step 6: Final answer
    x = 396,627.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.