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Finding the Third Proportional to 53,786 and 118,295

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Solution

The third proportional to 53,786 and 118,295 is: 260,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,786 : 118,295 = 118,295 : x
  2. Step 2: Convert to fraction form
    53,786/118,295 = 118,295/x
  3. Step 3: Cross multiply
    53,786x = 118,295 × 118,295
  4. Step 4: Simplify right side
    53,786x = 13,993,707,025
  5. Step 5: Solve for x
    x = 13,993,707,025/53,786
  6. Step 6: Final answer
    x = 260,173.78

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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.