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Finding the Third Proportional to 53,989 and 118,606

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Solution

The third proportional to 53,989 and 118,606 is: 260,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,989 : 118,606 = 118,606 : x
  2. Step 2: Convert to fraction form
    53,989/118,606 = 118,606/x
  3. Step 3: Cross multiply
    53,989x = 118,606 × 118,606
  4. Step 4: Simplify right side
    53,989x = 14,067,383,236
  5. Step 5: Solve for x
    x = 14,067,383,236/53,989
  6. Step 6: Final answer
    x = 260,560.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.