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Finding the Third Proportional to 50,023 and 76,304.50

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Solution

The third proportional to 50,023 and 76,304.50 is: 116,393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,023 : 76,304.50 = 76,304.50 : x
  2. Step 2: Convert to fraction form
    50,023/76,304.50 = 76,304.50/x
  3. Step 3: Cross multiply
    50,023x = 76,304.50 × 76,304.50
  4. Step 4: Simplify right side
    50,023x = 5,822,376,720.25
  5. Step 5: Solve for x
    x = 5,822,376,720.25/50,023
  6. Step 6: Final answer
    x = 116,393.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.