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Finding the Third Proportional to 107,176.50 and 161,736.75

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Solution

The third proportional to 107,176.50 and 161,736.75 is: 244,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,176.50 : 161,736.75 = 161,736.75 : x
  2. Step 2: Convert to fraction form
    107,176.50/161,736.75 = 161,736.75/x
  3. Step 3: Cross multiply
    107,176.50x = 161,736.75 × 161,736.75
  4. Step 4: Simplify right side
    107,176.50x = 26,158,776,300.56
  5. Step 5: Solve for x
    x = 26,158,776,300.56/107,176.50
  6. Step 6: Final answer
    x = 244,071.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.