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Finding the Third Proportional to 75,675.94 and 160,577.44

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Solution

The third proportional to 75,675.94 and 160,577.44 is: 340,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,675.94 : 160,577.44 = 160,577.44 : x
  2. Step 2: Convert to fraction form
    75,675.94/160,577.44 = 160,577.44/x
  3. Step 3: Cross multiply
    75,675.94x = 160,577.44 × 160,577.44
  4. Step 4: Simplify right side
    75,675.94x = 25,785,113,434.07
  5. Step 5: Solve for x
    x = 25,785,113,434.07/75,675.94
  6. Step 6: Final answer
    x = 340,730.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.