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Finding the Third Proportional to 53,741 and 117,040

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Solution

The third proportional to 53,741 and 117,040 is: 254,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,741 : 117,040 = 117,040 : x
  2. Step 2: Convert to fraction form
    53,741/117,040 = 117,040/x
  3. Step 3: Cross multiply
    53,741x = 117,040 × 117,040
  4. Step 4: Simplify right side
    53,741x = 13,698,361,600
  5. Step 5: Solve for x
    x = 13,698,361,600/53,741
  6. Step 6: Final answer
    x = 254,895.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.