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Finding the Third Proportional to 52,268 and 113,278

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Solution

The third proportional to 52,268 and 113,278 is: 245,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,268 : 113,278 = 113,278 : x
  2. Step 2: Convert to fraction form
    52,268/113,278 = 113,278/x
  3. Step 3: Cross multiply
    52,268x = 113,278 × 113,278
  4. Step 4: Simplify right side
    52,268x = 12,831,905,284
  5. Step 5: Solve for x
    x = 12,831,905,284/52,268
  6. Step 6: Final answer
    x = 245,502.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.