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Finding the Third Proportional to 52,814.25 and 117,435.38

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Solution

The third proportional to 52,814.25 and 117,435.38 is: 261,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,814.25 : 117,435.38 = 117,435.38 : x
  2. Step 2: Convert to fraction form
    52,814.25/117,435.38 = 117,435.38/x
  3. Step 3: Cross multiply
    52,814.25x = 117,435.38 × 117,435.38
  4. Step 4: Simplify right side
    52,814.25x = 13,791,067,301.39
  5. Step 5: Solve for x
    x = 13,791,067,301.39/52,814.25
  6. Step 6: Final answer
    x = 261,123.98

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