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Finding the Third Proportional to 53,846 and 118,546

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Solution

The third proportional to 53,846 and 118,546 is: 260,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,846 : 118,546 = 118,546 : x
  2. Step 2: Convert to fraction form
    53,846/118,546 = 118,546/x
  3. Step 3: Cross multiply
    53,846x = 118,546 × 118,546
  4. Step 4: Simplify right side
    53,846x = 14,053,154,116
  5. Step 5: Solve for x
    x = 14,053,154,116/53,846
  6. Step 6: Final answer
    x = 260,987.89

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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.