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Finding the Third Proportional to 53,072 and 116,356

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Solution

The third proportional to 53,072 and 116,356 is: 255,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,072 : 116,356 = 116,356 : x
  2. Step 2: Convert to fraction form
    53,072/116,356 = 116,356/x
  3. Step 3: Cross multiply
    53,072x = 116,356 × 116,356
  4. Step 4: Simplify right side
    53,072x = 13,538,718,736
  5. Step 5: Solve for x
    x = 13,538,718,736/53,072
  6. Step 6: Final answer
    x = 255,100.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.