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Finding the Third Proportional to 53,814 and 82,992

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Solution

The third proportional to 53,814 and 82,992 is: 127,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,814 : 82,992 = 82,992 : x
  2. Step 2: Convert to fraction form
    53,814/82,992 = 82,992/x
  3. Step 3: Cross multiply
    53,814x = 82,992 × 82,992
  4. Step 4: Simplify right side
    53,814x = 6,887,672,064
  5. Step 5: Solve for x
    x = 6,887,672,064/53,814
  6. Step 6: Final answer
    x = 127,990.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.