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Finding the Third Proportional to 53,682 and 72,899

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Solution

The third proportional to 53,682 and 72,899 is: 98,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,682 : 72,899 = 72,899 : x
  2. Step 2: Convert to fraction form
    53,682/72,899 = 72,899/x
  3. Step 3: Cross multiply
    53,682x = 72,899 × 72,899
  4. Step 4: Simplify right side
    53,682x = 5,314,264,201
  5. Step 5: Solve for x
    x = 5,314,264,201/53,682
  6. Step 6: Final answer
    x = 98,995.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.