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Finding the Third Proportional to 49,686 and 72,944

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Solution

The third proportional to 49,686 and 72,944 is: 107,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,686 : 72,944 = 72,944 : x
  2. Step 2: Convert to fraction form
    49,686/72,944 = 72,944/x
  3. Step 3: Cross multiply
    49,686x = 72,944 × 72,944
  4. Step 4: Simplify right side
    49,686x = 5,320,827,136
  5. Step 5: Solve for x
    x = 5,320,827,136/49,686
  6. Step 6: Final answer
    x = 107,089.06

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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.