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Finding the Third Proportional to 52,983 and 74,266.50

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Solution

The third proportional to 52,983 and 74,266.50 is: 104,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,983 : 74,266.50 = 74,266.50 : x
  2. Step 2: Convert to fraction form
    52,983/74,266.50 = 74,266.50/x
  3. Step 3: Cross multiply
    52,983x = 74,266.50 × 74,266.50
  4. Step 4: Simplify right side
    52,983x = 5,515,513,022.25
  5. Step 5: Solve for x
    x = 5,515,513,022.25/52,983
  6. Step 6: Final answer
    x = 104,099.67

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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.