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Finding the Third Proportional to 65,025.75 and 141,123.75

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Solution

The third proportional to 65,025.75 and 141,123.75 is: 306,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,025.75 : 141,123.75 = 141,123.75 : x
  2. Step 2: Convert to fraction form
    65,025.75/141,123.75 = 141,123.75/x
  3. Step 3: Cross multiply
    65,025.75x = 141,123.75 × 141,123.75
  4. Step 4: Simplify right side
    65,025.75x = 19,915,912,814.06
  5. Step 5: Solve for x
    x = 19,915,912,814.06/65,025.75
  6. Step 6: Final answer
    x = 306,277.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.