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Finding the Third Proportional to 53,264 and 76,728

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Solution

The third proportional to 53,264 and 76,728 is: 110,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,264 : 76,728 = 76,728 : x
  2. Step 2: Convert to fraction form
    53,264/76,728 = 76,728/x
  3. Step 3: Cross multiply
    53,264x = 76,728 × 76,728
  4. Step 4: Simplify right side
    53,264x = 5,887,185,984
  5. Step 5: Solve for x
    x = 5,887,185,984/53,264
  6. Step 6: Final answer
    x = 110,528.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.