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Finding the Third Proportional to 90,058.50 and 193,959

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Solution

The third proportional to 90,058.50 and 193,959 is: 417,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,058.50 : 193,959 = 193,959 : x
  2. Step 2: Convert to fraction form
    90,058.50/193,959 = 193,959/x
  3. Step 3: Cross multiply
    90,058.50x = 193,959 × 193,959
  4. Step 4: Simplify right side
    90,058.50x = 37,620,093,681
  5. Step 5: Solve for x
    x = 37,620,093,681/90,058.50
  6. Step 6: Final answer
    x = 417,729.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.