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Finding the Third Proportional to 53,813 and 83,990

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Solution

The third proportional to 53,813 and 83,990 is: 131,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,813 : 83,990 = 83,990 : x
  2. Step 2: Convert to fraction form
    53,813/83,990 = 83,990/x
  3. Step 3: Cross multiply
    53,813x = 83,990 × 83,990
  4. Step 4: Simplify right side
    53,813x = 7,054,320,100
  5. Step 5: Solve for x
    x = 7,054,320,100/53,813
  6. Step 6: Final answer
    x = 131,089.52

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.