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Finding the Third Proportional to 53,635 and 117,772

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Solution

The third proportional to 53,635 and 117,772 is: 258,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,635 : 117,772 = 117,772 : x
  2. Step 2: Convert to fraction form
    53,635/117,772 = 117,772/x
  3. Step 3: Cross multiply
    53,635x = 117,772 × 117,772
  4. Step 4: Simplify right side
    53,635x = 13,870,243,984
  5. Step 5: Solve for x
    x = 13,870,243,984/53,635
  6. Step 6: Final answer
    x = 258,604.34

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