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Finding the Third Proportional to 87,328.13 and 122,942.81

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Solution

The third proportional to 87,328.13 and 122,942.81 is: 173,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,328.13 : 122,942.81 = 122,942.81 : x
  2. Step 2: Convert to fraction form
    87,328.13/122,942.81 = 122,942.81/x
  3. Step 3: Cross multiply
    87,328.13x = 122,942.81 × 122,942.81
  4. Step 4: Simplify right side
    87,328.13x = 15,114,935,145.41
  5. Step 5: Solve for x
    x = 15,114,935,145.41/87,328.13
  6. Step 6: Final answer
    x = 173,082.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.