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Finding the Third Proportional to 74,074 and 103,695

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Solution

The third proportional to 74,074 and 103,695 is: 145,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,074 : 103,695 = 103,695 : x
  2. Step 2: Convert to fraction form
    74,074/103,695 = 103,695/x
  3. Step 3: Cross multiply
    74,074x = 103,695 × 103,695
  4. Step 4: Simplify right side
    74,074x = 10,752,653,025
  5. Step 5: Solve for x
    x = 10,752,653,025/74,074
  6. Step 6: Final answer
    x = 145,160.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.