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Finding the Third Proportional to 50,748 and 106,968

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Solution

The third proportional to 50,748 and 106,968 is: 225,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,748 : 106,968 = 106,968 : x
  2. Step 2: Convert to fraction form
    50,748/106,968 = 106,968/x
  3. Step 3: Cross multiply
    50,748x = 106,968 × 106,968
  4. Step 4: Simplify right side
    50,748x = 11,442,153,024
  5. Step 5: Solve for x
    x = 11,442,153,024/50,748
  6. Step 6: Final answer
    x = 225,470.03

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.