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Finding the Third Proportional to 90,831 and 141,764.50

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Solution

The third proportional to 90,831 and 141,764.50 is: 221,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,831 : 141,764.50 = 141,764.50 : x
  2. Step 2: Convert to fraction form
    90,831/141,764.50 = 141,764.50/x
  3. Step 3: Cross multiply
    90,831x = 141,764.50 × 141,764.50
  4. Step 4: Simplify right side
    90,831x = 20,097,173,460.25
  5. Step 5: Solve for x
    x = 20,097,173,460.25/90,831
  6. Step 6: Final answer
    x = 221,258.97

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.