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Finding the Third Proportional to 52,036 and 110,554

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Solution

The third proportional to 52,036 and 110,554 is: 234,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,036 : 110,554 = 110,554 : x
  2. Step 2: Convert to fraction form
    52,036/110,554 = 110,554/x
  3. Step 3: Cross multiply
    52,036x = 110,554 × 110,554
  4. Step 4: Simplify right side
    52,036x = 12,222,186,916
  5. Step 5: Solve for x
    x = 12,222,186,916/52,036
  6. Step 6: Final answer
    x = 234,879.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.