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Finding the Third Proportional to 76,200 and 165,114

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Solution

The third proportional to 76,200 and 165,114 is: 357,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,200 : 165,114 = 165,114 : x
  2. Step 2: Convert to fraction form
    76,200/165,114 = 165,114/x
  3. Step 3: Cross multiply
    76,200x = 165,114 × 165,114
  4. Step 4: Simplify right side
    76,200x = 27,262,632,996
  5. Step 5: Solve for x
    x = 27,262,632,996/76,200
  6. Step 6: Final answer
    x = 357,777.34

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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.