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Finding the Third Proportional to 52,549 and 115,318

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Solution

The third proportional to 52,549 and 115,318 is: 253,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,549 : 115,318 = 115,318 : x
  2. Step 2: Convert to fraction form
    52,549/115,318 = 115,318/x
  3. Step 3: Cross multiply
    52,549x = 115,318 × 115,318
  4. Step 4: Simplify right side
    52,549x = 13,298,241,124
  5. Step 5: Solve for x
    x = 13,298,241,124/52,549
  6. Step 6: Final answer
    x = 253,063.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.