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Finding the Third Proportional to 76,539.75 and 166,360.50

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Solution

The third proportional to 76,539.75 and 166,360.50 is: 361,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,539.75 : 166,360.50 = 166,360.50 : x
  2. Step 2: Convert to fraction form
    76,539.75/166,360.50 = 166,360.50/x
  3. Step 3: Cross multiply
    76,539.75x = 166,360.50 × 166,360.50
  4. Step 4: Simplify right side
    76,539.75x = 27,675,815,960.25
  5. Step 5: Solve for x
    x = 27,675,815,960.25/76,539.75
  6. Step 6: Final answer
    x = 361,587.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.