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Finding the Third Proportional to 46,343 and 71,819

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Solution

The third proportional to 46,343 and 71,819 is: 111,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,343 : 71,819 = 71,819 : x
  2. Step 2: Convert to fraction form
    46,343/71,819 = 71,819/x
  3. Step 3: Cross multiply
    46,343x = 71,819 × 71,819
  4. Step 4: Simplify right side
    46,343x = 5,157,968,761
  5. Step 5: Solve for x
    x = 5,157,968,761/46,343
  6. Step 6: Final answer
    x = 111,299.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.