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Finding the Third Proportional to 53,622 and 78,872

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Solution

The third proportional to 53,622 and 78,872 is: 116,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,622 : 78,872 = 78,872 : x
  2. Step 2: Convert to fraction form
    53,622/78,872 = 78,872/x
  3. Step 3: Cross multiply
    53,622x = 78,872 × 78,872
  4. Step 4: Simplify right side
    53,622x = 6,220,792,384
  5. Step 5: Solve for x
    x = 6,220,792,384/53,622
  6. Step 6: Final answer
    x = 116,011.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.