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Finding the Third Proportional to 52,810.75 and 117,428.75

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Solution

The third proportional to 52,810.75 and 117,428.75 is: 261,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,810.75 : 117,428.75 = 117,428.75 : x
  2. Step 2: Convert to fraction form
    52,810.75/117,428.75 = 117,428.75/x
  3. Step 3: Cross multiply
    52,810.75x = 117,428.75 × 117,428.75
  4. Step 4: Simplify right side
    52,810.75x = 13,789,511,326.56
  5. Step 5: Solve for x
    x = 13,789,511,326.56/52,810.75
  6. Step 6: Final answer
    x = 261,111.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.