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Finding the Third Proportional to 91,053 and 193,405

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Solution

The third proportional to 91,053 and 193,405 is: 410,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,053 : 193,405 = 193,405 : x
  2. Step 2: Convert to fraction form
    91,053/193,405 = 193,405/x
  3. Step 3: Cross multiply
    91,053x = 193,405 × 193,405
  4. Step 4: Simplify right side
    91,053x = 37,405,494,025
  5. Step 5: Solve for x
    x = 37,405,494,025/91,053
  6. Step 6: Final answer
    x = 410,810.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.