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Finding the Third Proportional to 133,929.75 and 202,623.75

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Solution

The third proportional to 133,929.75 and 202,623.75 is: 306,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,929.75 : 202,623.75 = 202,623.75 : x
  2. Step 2: Convert to fraction form
    133,929.75/202,623.75 = 202,623.75/x
  3. Step 3: Cross multiply
    133,929.75x = 202,623.75 × 202,623.75
  4. Step 4: Simplify right side
    133,929.75x = 41,056,384,064.06
  5. Step 5: Solve for x
    x = 41,056,384,064.06/133,929.75
  6. Step 6: Final answer
    x = 306,551.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.