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Finding the Third Proportional to 52,603 and 114,845

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Solution

The third proportional to 52,603 and 114,845 is: 250,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,603 : 114,845 = 114,845 : x
  2. Step 2: Convert to fraction form
    52,603/114,845 = 114,845/x
  3. Step 3: Cross multiply
    52,603x = 114,845 × 114,845
  4. Step 4: Simplify right side
    52,603x = 13,189,374,025
  5. Step 5: Solve for x
    x = 13,189,374,025/52,603
  6. Step 6: Final answer
    x = 250,734.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.