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Finding the Third Proportional to 94,603 and 142,303

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Solution

The third proportional to 94,603 and 142,303 is: 214,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,603 : 142,303 = 142,303 : x
  2. Step 2: Convert to fraction form
    94,603/142,303 = 142,303/x
  3. Step 3: Cross multiply
    94,603x = 142,303 × 142,303
  4. Step 4: Simplify right side
    94,603x = 20,250,143,809
  5. Step 5: Solve for x
    x = 20,250,143,809/94,603
  6. Step 6: Final answer
    x = 214,053.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.