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Finding the Third Proportional to 75,683 and 178,405

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Solution

The third proportional to 75,683 and 178,405 is: 420,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,683 : 178,405 = 178,405 : x
  2. Step 2: Convert to fraction form
    75,683/178,405 = 178,405/x
  3. Step 3: Cross multiply
    75,683x = 178,405 × 178,405
  4. Step 4: Simplify right side
    75,683x = 31,828,344,025
  5. Step 5: Solve for x
    x = 31,828,344,025/75,683
  6. Step 6: Final answer
    x = 420,548.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.