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Finding the Third Proportional to 53,768 and 118,241

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Solution

The third proportional to 53,768 and 118,241 is: 260,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,768 : 118,241 = 118,241 : x
  2. Step 2: Convert to fraction form
    53,768/118,241 = 118,241/x
  3. Step 3: Cross multiply
    53,768x = 118,241 × 118,241
  4. Step 4: Simplify right side
    53,768x = 13,980,934,081
  5. Step 5: Solve for x
    x = 13,980,934,081/53,768
  6. Step 6: Final answer
    x = 260,023.32

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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.