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Finding the Third Proportional to 50,997 and 74,920.50

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Solution

The third proportional to 50,997 and 74,920.50 is: 110,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,997 : 74,920.50 = 74,920.50 : x
  2. Step 2: Convert to fraction form
    50,997/74,920.50 = 74,920.50/x
  3. Step 3: Cross multiply
    50,997x = 74,920.50 × 74,920.50
  4. Step 4: Simplify right side
    50,997x = 5,613,081,320.25
  5. Step 5: Solve for x
    x = 5,613,081,320.25/50,997
  6. Step 6: Final answer
    x = 110,066.89

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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.