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Finding the Third Proportional to 133,766.63 and 183,427.13

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Solution

The third proportional to 133,766.63 and 183,427.13 is: 251,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,766.63 : 183,427.13 = 183,427.13 : x
  2. Step 2: Convert to fraction form
    133,766.63/183,427.13 = 183,427.13/x
  3. Step 3: Cross multiply
    133,766.63x = 183,427.13 × 183,427.13
  4. Step 4: Simplify right side
    133,766.63x = 33,645,510,185.77
  5. Step 5: Solve for x
    x = 33,645,510,185.77/133,766.63
  6. Step 6: Final answer
    x = 251,523.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.