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Finding the Third Proportional to 67,243.50 and 146,316

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Solution

The third proportional to 67,243.50 and 146,316 is: 318,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,243.50 : 146,316 = 146,316 : x
  2. Step 2: Convert to fraction form
    67,243.50/146,316 = 146,316/x
  3. Step 3: Cross multiply
    67,243.50x = 146,316 × 146,316
  4. Step 4: Simplify right side
    67,243.50x = 21,408,371,856
  5. Step 5: Solve for x
    x = 21,408,371,856/67,243.50
  6. Step 6: Final answer
    x = 318,370.87

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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.