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Finding the Third Proportional to 93,712 and 205,662

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Solution

The third proportional to 93,712 and 205,662 is: 451,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,712 : 205,662 = 205,662 : x
  2. Step 2: Convert to fraction form
    93,712/205,662 = 205,662/x
  3. Step 3: Cross multiply
    93,712x = 205,662 × 205,662
  4. Step 4: Simplify right side
    93,712x = 42,296,858,244
  5. Step 5: Solve for x
    x = 42,296,858,244/93,712
  6. Step 6: Final answer
    x = 451,349.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.