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Finding the Third Proportional to 57,660 and 84,258

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Solution

The third proportional to 57,660 and 84,258 is: 123,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,660 : 84,258 = 84,258 : x
  2. Step 2: Convert to fraction form
    57,660/84,258 = 84,258/x
  3. Step 3: Cross multiply
    57,660x = 84,258 × 84,258
  4. Step 4: Simplify right side
    57,660x = 7,099,410,564
  5. Step 5: Solve for x
    x = 7,099,410,564/57,660
  6. Step 6: Final answer
    x = 123,125.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.