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Finding the Third Proportional to 53,448 and 116,004

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Solution

The third proportional to 53,448 and 116,004 is: 251,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,448 : 116,004 = 116,004 : x
  2. Step 2: Convert to fraction form
    53,448/116,004 = 116,004/x
  3. Step 3: Cross multiply
    53,448x = 116,004 × 116,004
  4. Step 4: Simplify right side
    53,448x = 13,456,928,016
  5. Step 5: Solve for x
    x = 13,456,928,016/53,448
  6. Step 6: Final answer
    x = 251,776.08

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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.