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Finding the Third Proportional to 136,807.50 and 192,520.50

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Solution

The third proportional to 136,807.50 and 192,520.50 is: 270,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,807.50 : 192,520.50 = 192,520.50 : x
  2. Step 2: Convert to fraction form
    136,807.50/192,520.50 = 192,520.50/x
  3. Step 3: Cross multiply
    136,807.50x = 192,520.50 × 192,520.50
  4. Step 4: Simplify right side
    136,807.50x = 37,064,142,920.25
  5. Step 5: Solve for x
    x = 37,064,142,920.25/136,807.50
  6. Step 6: Final answer
    x = 270,921.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.