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Finding the Third Proportional to 54,628 and 118,004

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Solution

The third proportional to 54,628 and 118,004 is: 254,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,628 : 118,004 = 118,004 : x
  2. Step 2: Convert to fraction form
    54,628/118,004 = 118,004/x
  3. Step 3: Cross multiply
    54,628x = 118,004 × 118,004
  4. Step 4: Simplify right side
    54,628x = 13,924,944,016
  5. Step 5: Solve for x
    x = 13,924,944,016/54,628
  6. Step 6: Final answer
    x = 254,904.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.