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Finding the Third Proportional to 53,072 and 111,904

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Solution

The third proportional to 53,072 and 111,904 is: 235,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,072 : 111,904 = 111,904 : x
  2. Step 2: Convert to fraction form
    53,072/111,904 = 111,904/x
  3. Step 3: Cross multiply
    53,072x = 111,904 × 111,904
  4. Step 4: Simplify right side
    53,072x = 12,522,505,216
  5. Step 5: Solve for x
    x = 12,522,505,216/53,072
  6. Step 6: Final answer
    x = 235,953.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.