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Finding the Third Proportional to 52,844 and 110,053

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Solution

The third proportional to 52,844 and 110,053 is: 229,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,844 : 110,053 = 110,053 : x
  2. Step 2: Convert to fraction form
    52,844/110,053 = 110,053/x
  3. Step 3: Cross multiply
    52,844x = 110,053 × 110,053
  4. Step 4: Simplify right side
    52,844x = 12,111,662,809
  5. Step 5: Solve for x
    x = 12,111,662,809/52,844
  6. Step 6: Final answer
    x = 229,196.56

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.