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Finding the Third Proportional to 89,188.59 and 122,301.14

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Solution

The third proportional to 89,188.59 and 122,301.14 is: 167,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,188.59 : 122,301.14 = 122,301.14 : x
  2. Step 2: Convert to fraction form
    89,188.59/122,301.14 = 122,301.14/x
  3. Step 3: Cross multiply
    89,188.59x = 122,301.14 × 122,301.14
  4. Step 4: Simplify right side
    89,188.59x = 14,957,568,998.18
  5. Step 5: Solve for x
    x = 14,957,568,998.18/89,188.59
  6. Step 6: Final answer
    x = 167,707.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.