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Finding the Third Proportional to 57,664 and 126,258

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Solution

The third proportional to 57,664 and 126,258 is: 276,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,664 : 126,258 = 126,258 : x
  2. Step 2: Convert to fraction form
    57,664/126,258 = 126,258/x
  3. Step 3: Cross multiply
    57,664x = 126,258 × 126,258
  4. Step 4: Simplify right side
    57,664x = 15,941,082,564
  5. Step 5: Solve for x
    x = 15,941,082,564/57,664
  6. Step 6: Final answer
    x = 276,447.74

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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.