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Finding the Third Proportional to 48,820 and 73,223

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Solution

The third proportional to 48,820 and 73,223 is: 109,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,820 : 73,223 = 73,223 : x
  2. Step 2: Convert to fraction form
    48,820/73,223 = 73,223/x
  3. Step 3: Cross multiply
    48,820x = 73,223 × 73,223
  4. Step 4: Simplify right side
    48,820x = 5,361,607,729
  5. Step 5: Solve for x
    x = 5,361,607,729/48,820
  6. Step 6: Final answer
    x = 109,824.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.