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Finding the Third Proportional to 115,561.13 and 162,258.19

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Solution

The third proportional to 115,561.13 and 162,258.19 is: 227,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,561.13 : 162,258.19 = 162,258.19 : x
  2. Step 2: Convert to fraction form
    115,561.13/162,258.19 = 162,258.19/x
  3. Step 3: Cross multiply
    115,561.13x = 162,258.19 × 162,258.19
  4. Step 4: Simplify right side
    115,561.13x = 26,327,719,410.79
  5. Step 5: Solve for x
    x = 26,327,719,410.79/115,561.13
  6. Step 6: Final answer
    x = 227,825.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.