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Finding the Third Proportional to 51,961.50 and 74,308.50

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Solution

The third proportional to 51,961.50 and 74,308.50 is: 106,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,961.50 : 74,308.50 = 74,308.50 : x
  2. Step 2: Convert to fraction form
    51,961.50/74,308.50 = 74,308.50/x
  3. Step 3: Cross multiply
    51,961.50x = 74,308.50 × 74,308.50
  4. Step 4: Simplify right side
    51,961.50x = 5,521,753,172.25
  5. Step 5: Solve for x
    x = 5,521,753,172.25/51,961.50
  6. Step 6: Final answer
    x = 106,266.24

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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.