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Finding the Third Proportional to 75,411 and 165,766.50

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Solution

The third proportional to 75,411 and 165,766.50 is: 364,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,411 : 165,766.50 = 165,766.50 : x
  2. Step 2: Convert to fraction form
    75,411/165,766.50 = 165,766.50/x
  3. Step 3: Cross multiply
    75,411x = 165,766.50 × 165,766.50
  4. Step 4: Simplify right side
    75,411x = 27,478,532,522.25
  5. Step 5: Solve for x
    x = 27,478,532,522.25/75,411
  6. Step 6: Final answer
    x = 364,383.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.