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Finding the Third Proportional to 42,303 and 91,895

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Solution

The third proportional to 42,303 and 91,895 is: 199,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,303 : 91,895 = 91,895 : x
  2. Step 2: Convert to fraction form
    42,303/91,895 = 91,895/x
  3. Step 3: Cross multiply
    42,303x = 91,895 × 91,895
  4. Step 4: Simplify right side
    42,303x = 8,444,691,025
  5. Step 5: Solve for x
    x = 8,444,691,025/42,303
  6. Step 6: Final answer
    x = 199,623.93

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