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Finding the Third Proportional to 124,561 and 193,405

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Solution

The third proportional to 124,561 and 193,405 is: 300,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,561 : 193,405 = 193,405 : x
  2. Step 2: Convert to fraction form
    124,561/193,405 = 193,405/x
  3. Step 3: Cross multiply
    124,561x = 193,405 × 193,405
  4. Step 4: Simplify right side
    124,561x = 37,405,494,025
  5. Step 5: Solve for x
    x = 37,405,494,025/124,561
  6. Step 6: Final answer
    x = 300,298.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.