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Finding the Third Proportional to 48,077 and 103,258

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Solution

The third proportional to 48,077 and 103,258 is: 221,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,077 : 103,258 = 103,258 : x
  2. Step 2: Convert to fraction form
    48,077/103,258 = 103,258/x
  3. Step 3: Cross multiply
    48,077x = 103,258 × 103,258
  4. Step 4: Simplify right side
    48,077x = 10,662,214,564
  5. Step 5: Solve for x
    x = 10,662,214,564/48,077
  6. Step 6: Final answer
    x = 221,773.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.