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Finding the Third Proportional to 52,734 and 113,258

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Solution

The third proportional to 52,734 and 113,258 is: 243,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,734 : 113,258 = 113,258 : x
  2. Step 2: Convert to fraction form
    52,734/113,258 = 113,258/x
  3. Step 3: Cross multiply
    52,734x = 113,258 × 113,258
  4. Step 4: Simplify right side
    52,734x = 12,827,374,564
  5. Step 5: Solve for x
    x = 12,827,374,564/52,734
  6. Step 6: Final answer
    x = 243,246.76

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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.