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Finding the Third Proportional to 107,157 and 161,707.75

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Solution

The third proportional to 107,157 and 161,707.75 is: 244,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,157 : 161,707.75 = 161,707.75 : x
  2. Step 2: Convert to fraction form
    107,157/161,707.75 = 161,707.75/x
  3. Step 3: Cross multiply
    107,157x = 161,707.75 × 161,707.75
  4. Step 4: Simplify right side
    107,157x = 26,149,396,410.06
  5. Step 5: Solve for x
    x = 26,149,396,410.06/107,157
  6. Step 6: Final answer
    x = 244,028.82

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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.