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Finding the Third Proportional to 77,410.69 and 158,785.31

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Solution

The third proportional to 77,410.69 and 158,785.31 is: 325,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410.69 : 158,785.31 = 158,785.31 : x
  2. Step 2: Convert to fraction form
    77,410.69/158,785.31 = 158,785.31/x
  3. Step 3: Cross multiply
    77,410.69x = 158,785.31 × 158,785.31
  4. Step 4: Simplify right side
    77,410.69x = 25,212,775,465.72
  5. Step 5: Solve for x
    x = 25,212,775,465.72/77,410.69
  6. Step 6: Final answer
    x = 325,701.48

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.