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Finding the Third Proportional to 74,836.69 and 160,745.06

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Solution

The third proportional to 74,836.69 and 160,745.06 is: 345,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,836.69 : 160,745.06 = 160,745.06 : x
  2. Step 2: Convert to fraction form
    74,836.69/160,745.06 = 160,745.06/x
  3. Step 3: Cross multiply
    74,836.69x = 160,745.06 × 160,745.06
  4. Step 4: Simplify right side
    74,836.69x = 25,838,975,118.13
  5. Step 5: Solve for x
    x = 25,838,975,118.13/74,836.69
  6. Step 6: Final answer
    x = 345,271.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.