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Finding the Third Proportional to 64,850.50 and 141,059

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Solution

The third proportional to 64,850.50 and 141,059 is: 306,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,850.50 : 141,059 = 141,059 : x
  2. Step 2: Convert to fraction form
    64,850.50/141,059 = 141,059/x
  3. Step 3: Cross multiply
    64,850.50x = 141,059 × 141,059
  4. Step 4: Simplify right side
    64,850.50x = 19,897,641,481
  5. Step 5: Solve for x
    x = 19,897,641,481/64,850.50
  6. Step 6: Final answer
    x = 306,823.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.