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Finding the Third Proportional to 80,847 and 118,921.50

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Solution

The third proportional to 80,847 and 118,921.50 is: 174,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,847 : 118,921.50 = 118,921.50 : x
  2. Step 2: Convert to fraction form
    80,847/118,921.50 = 118,921.50/x
  3. Step 3: Cross multiply
    80,847x = 118,921.50 × 118,921.50
  4. Step 4: Simplify right side
    80,847x = 14,142,323,162.25
  5. Step 5: Solve for x
    x = 14,142,323,162.25/80,847
  6. Step 6: Final answer
    x = 174,927.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.