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Finding the Third Proportional to 66,900.94 and 141,324.75

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Solution

The third proportional to 66,900.94 and 141,324.75 is: 298,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,900.94 : 141,324.75 = 141,324.75 : x
  2. Step 2: Convert to fraction form
    66,900.94/141,324.75 = 141,324.75/x
  3. Step 3: Cross multiply
    66,900.94x = 141,324.75 × 141,324.75
  4. Step 4: Simplify right side
    66,900.94x = 19,972,684,962.56
  5. Step 5: Solve for x
    x = 19,972,684,962.56/66,900.94
  6. Step 6: Final answer
    x = 298,541.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.