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Finding the Third Proportional to 46,315 and 71,761

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Solution

The third proportional to 46,315 and 71,761 is: 111,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,315 : 71,761 = 71,761 : x
  2. Step 2: Convert to fraction form
    46,315/71,761 = 71,761/x
  3. Step 3: Cross multiply
    46,315x = 71,761 × 71,761
  4. Step 4: Simplify right side
    46,315x = 5,149,641,121
  5. Step 5: Solve for x
    x = 5,149,641,121/46,315
  6. Step 6: Final answer
    x = 111,187.33

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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.