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Finding the Third Proportional to 52,995 and 115,194

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Solution

The third proportional to 52,995 and 115,194 is: 250,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,995 : 115,194 = 115,194 : x
  2. Step 2: Convert to fraction form
    52,995/115,194 = 115,194/x
  3. Step 3: Cross multiply
    52,995x = 115,194 × 115,194
  4. Step 4: Simplify right side
    52,995x = 13,269,657,636
  5. Step 5: Solve for x
    x = 13,269,657,636/52,995
  6. Step 6: Final answer
    x = 250,394.52

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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.