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Finding the Third Proportional to 116,775 and 166,413

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Solution

The third proportional to 116,775 and 166,413 is: 237,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,775 : 166,413 = 166,413 : x
  2. Step 2: Convert to fraction form
    116,775/166,413 = 166,413/x
  3. Step 3: Cross multiply
    116,775x = 166,413 × 166,413
  4. Step 4: Simplify right side
    116,775x = 27,693,286,569
  5. Step 5: Solve for x
    x = 27,693,286,569/116,775
  6. Step 6: Final answer
    x = 237,150.82

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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.