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Finding the Third Proportional to 93,956 and 125,254

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Solution

The third proportional to 93,956 and 125,254 is: 166,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,956 : 125,254 = 125,254 : x
  2. Step 2: Convert to fraction form
    93,956/125,254 = 125,254/x
  3. Step 3: Cross multiply
    93,956x = 125,254 × 125,254
  4. Step 4: Simplify right side
    93,956x = 15,688,564,516
  5. Step 5: Solve for x
    x = 15,688,564,516/93,956
  6. Step 6: Final answer
    x = 166,977.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.