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Finding the Third Proportional to 65,974.50 and 142,155

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Solution

The third proportional to 65,974.50 and 142,155 is: 306,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,974.50 : 142,155 = 142,155 : x
  2. Step 2: Convert to fraction form
    65,974.50/142,155 = 142,155/x
  3. Step 3: Cross multiply
    65,974.50x = 142,155 × 142,155
  4. Step 4: Simplify right side
    65,974.50x = 20,208,044,025
  5. Step 5: Solve for x
    x = 20,208,044,025/65,974.50
  6. Step 6: Final answer
    x = 306,300.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.