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Finding the Third Proportional to 51,925 and 74,253.50

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Solution

The third proportional to 51,925 and 74,253.50 is: 106,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,925 : 74,253.50 = 74,253.50 : x
  2. Step 2: Convert to fraction form
    51,925/74,253.50 = 74,253.50/x
  3. Step 3: Cross multiply
    51,925x = 74,253.50 × 74,253.50
  4. Step 4: Simplify right side
    51,925x = 5,513,582,262.25
  5. Step 5: Solve for x
    x = 5,513,582,262.25/51,925
  6. Step 6: Final answer
    x = 106,183.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.