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Finding the Third Proportional to 50,748 and 70,949

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Solution

The third proportional to 50,748 and 70,949 is: 99,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,748 : 70,949 = 70,949 : x
  2. Step 2: Convert to fraction form
    50,748/70,949 = 70,949/x
  3. Step 3: Cross multiply
    50,748x = 70,949 × 70,949
  4. Step 4: Simplify right side
    50,748x = 5,033,760,601
  5. Step 5: Solve for x
    x = 5,033,760,601/50,748
  6. Step 6: Final answer
    x = 99,191.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.