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Finding the Third Proportional to 53,048 and 117,760

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Solution

The third proportional to 53,048 and 117,760 is: 261,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,048 : 117,760 = 117,760 : x
  2. Step 2: Convert to fraction form
    53,048/117,760 = 117,760/x
  3. Step 3: Cross multiply
    53,048x = 117,760 × 117,760
  4. Step 4: Simplify right side
    53,048x = 13,867,417,600
  5. Step 5: Solve for x
    x = 13,867,417,600/53,048
  6. Step 6: Final answer
    x = 261,412.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.