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Finding the Third Proportional to 50,132 and 74,658

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Solution

The third proportional to 50,132 and 74,658 is: 111,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,132 : 74,658 = 74,658 : x
  2. Step 2: Convert to fraction form
    50,132/74,658 = 74,658/x
  3. Step 3: Cross multiply
    50,132x = 74,658 × 74,658
  4. Step 4: Simplify right side
    50,132x = 5,573,816,964
  5. Step 5: Solve for x
    x = 5,573,816,964/50,132
  6. Step 6: Final answer
    x = 111,182.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.