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Finding the Third Proportional to 53,144 and 112,768

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Solution

The third proportional to 53,144 and 112,768 is: 239,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,144 : 112,768 = 112,768 : x
  2. Step 2: Convert to fraction form
    53,144/112,768 = 112,768/x
  3. Step 3: Cross multiply
    53,144x = 112,768 × 112,768
  4. Step 4: Simplify right side
    53,144x = 12,716,621,824
  5. Step 5: Solve for x
    x = 12,716,621,824/53,144
  6. Step 6: Final answer
    x = 239,286.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.