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Finding the Third Proportional to 46,300 and 71,372

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Solution

The third proportional to 46,300 and 71,372 is: 110,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,300 : 71,372 = 71,372 : x
  2. Step 2: Convert to fraction form
    46,300/71,372 = 71,372/x
  3. Step 3: Cross multiply
    46,300x = 71,372 × 71,372
  4. Step 4: Simplify right side
    46,300x = 5,093,962,384
  5. Step 5: Solve for x
    x = 5,093,962,384/46,300
  6. Step 6: Final answer
    x = 110,020.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.