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Finding the Third Proportional to 96,134.50 and 143,405

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Solution

The third proportional to 96,134.50 and 143,405 is: 213,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,134.50 : 143,405 = 143,405 : x
  2. Step 2: Convert to fraction form
    96,134.50/143,405 = 143,405/x
  3. Step 3: Cross multiply
    96,134.50x = 143,405 × 143,405
  4. Step 4: Simplify right side
    96,134.50x = 20,564,994,025
  5. Step 5: Solve for x
    x = 20,564,994,025/96,134.50
  6. Step 6: Final answer
    x = 213,918.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.