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Finding the Third Proportional to 46,214 and 73,462

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Solution

The third proportional to 46,214 and 73,462 is: 116,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,214 : 73,462 = 73,462 : x
  2. Step 2: Convert to fraction form
    46,214/73,462 = 73,462/x
  3. Step 3: Cross multiply
    46,214x = 73,462 × 73,462
  4. Step 4: Simplify right side
    46,214x = 5,396,665,444
  5. Step 5: Solve for x
    x = 5,396,665,444/46,214
  6. Step 6: Final answer
    x = 116,775.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.