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Finding the Third Proportional to 131,059 and 197,671.50

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Solution

The third proportional to 131,059 and 197,671.50 is: 298,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,059 : 197,671.50 = 197,671.50 : x
  2. Step 2: Convert to fraction form
    131,059/197,671.50 = 197,671.50/x
  3. Step 3: Cross multiply
    131,059x = 197,671.50 × 197,671.50
  4. Step 4: Simplify right side
    131,059x = 39,074,021,912.25
  5. Step 5: Solve for x
    x = 39,074,021,912.25/131,059
  6. Step 6: Final answer
    x = 298,140.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.