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Finding the Third Proportional to 73,701 and 173,242

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Solution

The third proportional to 73,701 and 173,242 is: 407,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,701 : 173,242 = 173,242 : x
  2. Step 2: Convert to fraction form
    73,701/173,242 = 173,242/x
  3. Step 3: Cross multiply
    73,701x = 173,242 × 173,242
  4. Step 4: Simplify right side
    73,701x = 30,012,790,564
  5. Step 5: Solve for x
    x = 30,012,790,564/73,701
  6. Step 6: Final answer
    x = 407,223.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.