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Finding the Third Proportional to 75,985 and 165,350

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Solution

The third proportional to 75,985 and 165,350 is: 359,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,985 : 165,350 = 165,350 : x
  2. Step 2: Convert to fraction form
    75,985/165,350 = 165,350/x
  3. Step 3: Cross multiply
    75,985x = 165,350 × 165,350
  4. Step 4: Simplify right side
    75,985x = 27,340,622,500
  5. Step 5: Solve for x
    x = 27,340,622,500/75,985
  6. Step 6: Final answer
    x = 359,816.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.