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Finding the Third Proportional to 66,233 and 143,754

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Solution

The third proportional to 66,233 and 143,754 is: 312,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,233 : 143,754 = 143,754 : x
  2. Step 2: Convert to fraction form
    66,233/143,754 = 143,754/x
  3. Step 3: Cross multiply
    66,233x = 143,754 × 143,754
  4. Step 4: Simplify right side
    66,233x = 20,665,212,516
  5. Step 5: Solve for x
    x = 20,665,212,516/66,233
  6. Step 6: Final answer
    x = 312,007.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.