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Finding the Third Proportional to 50,968 and 74,952

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Solution

The third proportional to 50,968 and 74,952 is: 110,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,968 : 74,952 = 74,952 : x
  2. Step 2: Convert to fraction form
    50,968/74,952 = 74,952/x
  3. Step 3: Cross multiply
    50,968x = 74,952 × 74,952
  4. Step 4: Simplify right side
    50,968x = 5,617,802,304
  5. Step 5: Solve for x
    x = 5,617,802,304/50,968
  6. Step 6: Final answer
    x = 110,222.15

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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.