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Finding the Third Proportional to 116,754 and 166,383

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Solution

The third proportional to 116,754 and 166,383 is: 237,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,754 : 166,383 = 166,383 : x
  2. Step 2: Convert to fraction form
    116,754/166,383 = 166,383/x
  3. Step 3: Cross multiply
    116,754x = 166,383 × 166,383
  4. Step 4: Simplify right side
    116,754x = 27,683,302,689
  5. Step 5: Solve for x
    x = 27,683,302,689/116,754
  6. Step 6: Final answer
    x = 237,107.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.