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Finding the Third Proportional to 91,807 and 166,313

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Solution

The third proportional to 91,807 and 166,313 is: 301,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,807 : 166,313 = 166,313 : x
  2. Step 2: Convert to fraction form
    91,807/166,313 = 166,313/x
  3. Step 3: Cross multiply
    91,807x = 166,313 × 166,313
  4. Step 4: Simplify right side
    91,807x = 27,660,013,969
  5. Step 5: Solve for x
    x = 27,660,013,969/91,807
  6. Step 6: Final answer
    x = 301,284.37

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.