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Finding the Third Proportional to 73,983 and 165,534

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Solution

The third proportional to 73,983 and 165,534 is: 370,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,983 : 165,534 = 165,534 : x
  2. Step 2: Convert to fraction form
    73,983/165,534 = 165,534/x
  3. Step 3: Cross multiply
    73,983x = 165,534 × 165,534
  4. Step 4: Simplify right side
    73,983x = 27,401,505,156
  5. Step 5: Solve for x
    x = 27,401,505,156/73,983
  6. Step 6: Final answer
    x = 370,375.70

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.