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Finding the Third Proportional to 136,836 and 205,049.25

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Solution

The third proportional to 136,836 and 205,049.25 is: 307,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,836 : 205,049.25 = 205,049.25 : x
  2. Step 2: Convert to fraction form
    136,836/205,049.25 = 205,049.25/x
  3. Step 3: Cross multiply
    136,836x = 205,049.25 × 205,049.25
  4. Step 4: Simplify right side
    136,836x = 42,045,194,925.56
  5. Step 5: Solve for x
    x = 42,045,194,925.56/136,836
  6. Step 6: Final answer
    x = 307,267.06

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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.