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Finding the Third Proportional to 53,971 and 126,054

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Solution

The third proportional to 53,971 and 126,054 is: 294,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,971 : 126,054 = 126,054 : x
  2. Step 2: Convert to fraction form
    53,971/126,054 = 126,054/x
  3. Step 3: Cross multiply
    53,971x = 126,054 × 126,054
  4. Step 4: Simplify right side
    53,971x = 15,889,610,916
  5. Step 5: Solve for x
    x = 15,889,610,916/53,971
  6. Step 6: Final answer
    x = 294,410.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.