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Finding the Third Proportional to 77,024 and 165,936

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Solution

The third proportional to 77,024 and 165,936 is: 357,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,024 : 165,936 = 165,936 : x
  2. Step 2: Convert to fraction form
    77,024/165,936 = 165,936/x
  3. Step 3: Cross multiply
    77,024x = 165,936 × 165,936
  4. Step 4: Simplify right side
    77,024x = 27,534,756,096
  5. Step 5: Solve for x
    x = 27,534,756,096/77,024
  6. Step 6: Final answer
    x = 357,482.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.