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Finding the Third Proportional to 74,329.69 and 105,958.69

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Solution

The third proportional to 74,329.69 and 105,958.69 is: 151,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,329.69 : 105,958.69 = 105,958.69 : x
  2. Step 2: Convert to fraction form
    74,329.69/105,958.69 = 105,958.69/x
  3. Step 3: Cross multiply
    74,329.69x = 105,958.69 × 105,958.69
  4. Step 4: Simplify right side
    74,329.69x = 11,227,243,456.72
  5. Step 5: Solve for x
    x = 11,227,243,456.72/74,329.69
  6. Step 6: Final answer
    x = 151,046.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.