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Finding the Third Proportional to 68,575.50 and 149,967

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Solution

The third proportional to 68,575.50 and 149,967 is: 327,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,575.50 : 149,967 = 149,967 : x
  2. Step 2: Convert to fraction form
    68,575.50/149,967 = 149,967/x
  3. Step 3: Cross multiply
    68,575.50x = 149,967 × 149,967
  4. Step 4: Simplify right side
    68,575.50x = 22,490,101,089
  5. Step 5: Solve for x
    x = 22,490,101,089/68,575.50
  6. Step 6: Final answer
    x = 327,961.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.