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Finding the Third Proportional to 136,012 and 204,540

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Solution

The third proportional to 136,012 and 204,540 is: 307,595.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,012 : 204,540 = 204,540 : x
  2. Step 2: Convert to fraction form
    136,012/204,540 = 204,540/x
  3. Step 3: Cross multiply
    136,012x = 204,540 × 204,540
  4. Step 4: Simplify right side
    136,012x = 41,836,611,600
  5. Step 5: Solve for x
    x = 41,836,611,600/136,012
  6. Step 6: Final answer
    x = 307,595.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.