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Finding the Third Proportional to 136,629 and 191,060.50

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Solution

The third proportional to 136,629 and 191,060.50 is: 267,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,629 : 191,060.50 = 191,060.50 : x
  2. Step 2: Convert to fraction form
    136,629/191,060.50 = 191,060.50/x
  3. Step 3: Cross multiply
    136,629x = 191,060.50 × 191,060.50
  4. Step 4: Simplify right side
    136,629x = 36,504,114,660.25
  5. Step 5: Solve for x
    x = 36,504,114,660.25/136,629
  6. Step 6: Final answer
    x = 267,176.91

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.