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Finding the Third Proportional to 52,147.50 and 74,667

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Solution

The third proportional to 52,147.50 and 74,667 is: 106,911.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,147.50 : 74,667 = 74,667 : x
  2. Step 2: Convert to fraction form
    52,147.50/74,667 = 74,667/x
  3. Step 3: Cross multiply
    52,147.50x = 74,667 × 74,667
  4. Step 4: Simplify right side
    52,147.50x = 5,575,160,889
  5. Step 5: Solve for x
    x = 5,575,160,889/52,147.50
  6. Step 6: Final answer
    x = 106,911.37

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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.