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Finding the Third Proportional to 53,912 and 81,617

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Solution

The third proportional to 53,912 and 81,617 is: 123,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,912 : 81,617 = 81,617 : x
  2. Step 2: Convert to fraction form
    53,912/81,617 = 81,617/x
  3. Step 3: Cross multiply
    53,912x = 81,617 × 81,617
  4. Step 4: Simplify right side
    53,912x = 6,661,334,689
  5. Step 5: Solve for x
    x = 6,661,334,689/53,912
  6. Step 6: Final answer
    x = 123,559.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.