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Finding the Third Proportional to 131,244 and 194,098.50

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Solution

The third proportional to 131,244 and 194,098.50 is: 287,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,244 : 194,098.50 = 194,098.50 : x
  2. Step 2: Convert to fraction form
    131,244/194,098.50 = 194,098.50/x
  3. Step 3: Cross multiply
    131,244x = 194,098.50 × 194,098.50
  4. Step 4: Simplify right side
    131,244x = 37,674,227,702.25
  5. Step 5: Solve for x
    x = 37,674,227,702.25/131,244
  6. Step 6: Final answer
    x = 287,054.86

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.