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Finding the Third Proportional to 74,834 and 113,028.38

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Solution

The third proportional to 74,834 and 113,028.38 is: 170,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,834 : 113,028.38 = 113,028.38 : x
  2. Step 2: Convert to fraction form
    74,834/113,028.38 = 113,028.38/x
  3. Step 3: Cross multiply
    74,834x = 113,028.38 × 113,028.38
  4. Step 4: Simplify right side
    74,834x = 12,775,413,555.14
  5. Step 5: Solve for x
    x = 12,775,413,555.14/74,834
  6. Step 6: Final answer
    x = 170,716.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.