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Finding the Third Proportional to 50,718 and 74,642

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Solution

The third proportional to 50,718 and 74,642 is: 109,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,718 : 74,642 = 74,642 : x
  2. Step 2: Convert to fraction form
    50,718/74,642 = 74,642/x
  3. Step 3: Cross multiply
    50,718x = 74,642 × 74,642
  4. Step 4: Simplify right side
    50,718x = 5,571,428,164
  5. Step 5: Solve for x
    x = 5,571,428,164/50,718
  6. Step 6: Final answer
    x = 109,851.10

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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.