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Finding the Third Proportional to 52,602 and 114,843

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Solution

The third proportional to 52,602 and 114,843 is: 250,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,602 : 114,843 = 114,843 : x
  2. Step 2: Convert to fraction form
    52,602/114,843 = 114,843/x
  3. Step 3: Cross multiply
    52,602x = 114,843 × 114,843
  4. Step 4: Simplify right side
    52,602x = 13,188,914,649
  5. Step 5: Solve for x
    x = 13,188,914,649/52,602
  6. Step 6: Final answer
    x = 250,730.29

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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.