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Finding the Third Proportional to 116,842.50 and 166,515.75

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Solution

The third proportional to 116,842.50 and 166,515.75 is: 237,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,842.50 : 166,515.75 = 166,515.75 : x
  2. Step 2: Convert to fraction form
    116,842.50/166,515.75 = 166,515.75/x
  3. Step 3: Cross multiply
    116,842.50x = 166,515.75 × 166,515.75
  4. Step 4: Simplify right side
    116,842.50x = 27,727,494,998.06
  5. Step 5: Solve for x
    x = 27,727,494,998.06/116,842.50
  6. Step 6: Final answer
    x = 237,306.59

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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.