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Finding the Third Proportional to 80,280.75 and 123,444

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Solution

The third proportional to 80,280.75 and 123,444 is: 189,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,280.75 : 123,444 = 123,444 : x
  2. Step 2: Convert to fraction form
    80,280.75/123,444 = 123,444/x
  3. Step 3: Cross multiply
    80,280.75x = 123,444 × 123,444
  4. Step 4: Simplify right side
    80,280.75x = 15,238,421,136
  5. Step 5: Solve for x
    x = 15,238,421,136/80,280.75
  6. Step 6: Final answer
    x = 189,814.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.