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Finding the Third Proportional to 93,760 and 125,247

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Solution

The third proportional to 93,760 and 125,247 is: 167,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,760 : 125,247 = 125,247 : x
  2. Step 2: Convert to fraction form
    93,760/125,247 = 125,247/x
  3. Step 3: Cross multiply
    93,760x = 125,247 × 125,247
  4. Step 4: Simplify right side
    93,760x = 15,686,811,009
  5. Step 5: Solve for x
    x = 15,686,811,009/93,760
  6. Step 6: Final answer
    x = 167,308.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.