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Finding the Third Proportional to 118,432.13 and 160,790.06

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Solution

The third proportional to 118,432.13 and 160,790.06 is: 218,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,432.13 : 160,790.06 = 160,790.06 : x
  2. Step 2: Convert to fraction form
    118,432.13/160,790.06 = 160,790.06/x
  3. Step 3: Cross multiply
    118,432.13x = 160,790.06 × 160,790.06
  4. Step 4: Simplify right side
    118,432.13x = 25,853,444,198.75
  5. Step 5: Solve for x
    x = 25,853,444,198.75/118,432.13
  6. Step 6: Final answer
    x = 218,297.56

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.