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Finding the Third Proportional to 50,786 and 117,553

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Solution

The third proportional to 50,786 and 117,553 is: 272,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,786 : 117,553 = 117,553 : x
  2. Step 2: Convert to fraction form
    50,786/117,553 = 117,553/x
  3. Step 3: Cross multiply
    50,786x = 117,553 × 117,553
  4. Step 4: Simplify right side
    50,786x = 13,818,707,809
  5. Step 5: Solve for x
    x = 13,818,707,809/50,786
  6. Step 6: Final answer
    x = 272,096.79

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.