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Finding the Third Proportional to 47,201 and 72,923

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Solution

The third proportional to 47,201 and 72,923 is: 112,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,201 : 72,923 = 72,923 : x
  2. Step 2: Convert to fraction form
    47,201/72,923 = 72,923/x
  3. Step 3: Cross multiply
    47,201x = 72,923 × 72,923
  4. Step 4: Simplify right side
    47,201x = 5,317,763,929
  5. Step 5: Solve for x
    x = 5,317,763,929/47,201
  6. Step 6: Final answer
    x = 112,662.10

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.