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Finding the Third Proportional to 46,456 and 70,836

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Solution

The third proportional to 46,456 and 70,836 is: 108,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,456 : 70,836 = 70,836 : x
  2. Step 2: Convert to fraction form
    46,456/70,836 = 70,836/x
  3. Step 3: Cross multiply
    46,456x = 70,836 × 70,836
  4. Step 4: Simplify right side
    46,456x = 5,017,738,896
  5. Step 5: Solve for x
    x = 5,017,738,896/46,456
  6. Step 6: Final answer
    x = 108,010.57

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.