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Finding the Third Proportional to 88,138 and 192,964

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Solution

The third proportional to 88,138 and 192,964 is: 422,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,138 : 192,964 = 192,964 : x
  2. Step 2: Convert to fraction form
    88,138/192,964 = 192,964/x
  3. Step 3: Cross multiply
    88,138x = 192,964 × 192,964
  4. Step 4: Simplify right side
    88,138x = 37,235,105,296
  5. Step 5: Solve for x
    x = 37,235,105,296/88,138
  6. Step 6: Final answer
    x = 422,463.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.