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Finding the Third Proportional to 53,921 and 117,004

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Solution

The third proportional to 53,921 and 117,004 is: 253,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,921 : 117,004 = 117,004 : x
  2. Step 2: Convert to fraction form
    53,921/117,004 = 117,004/x
  3. Step 3: Cross multiply
    53,921x = 117,004 × 117,004
  4. Step 4: Simplify right side
    53,921x = 13,689,936,016
  5. Step 5: Solve for x
    x = 13,689,936,016/53,921
  6. Step 6: Final answer
    x = 253,888.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.