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Finding the Third Proportional to 76,181 and 165,465

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Solution

The third proportional to 76,181 and 165,465 is: 359,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,181 : 165,465 = 165,465 : x
  2. Step 2: Convert to fraction form
    76,181/165,465 = 165,465/x
  3. Step 3: Cross multiply
    76,181x = 165,465 × 165,465
  4. Step 4: Simplify right side
    76,181x = 27,378,666,225
  5. Step 5: Solve for x
    x = 27,378,666,225/76,181
  6. Step 6: Final answer
    x = 359,389.69

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