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Finding the Third Proportional to 128,038 and 193,826

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Solution

The third proportional to 128,038 and 193,826 is: 293,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,038 : 193,826 = 193,826 : x
  2. Step 2: Convert to fraction form
    128,038/193,826 = 193,826/x
  3. Step 3: Cross multiply
    128,038x = 193,826 × 193,826
  4. Step 4: Simplify right side
    128,038x = 37,568,518,276
  5. Step 5: Solve for x
    x = 37,568,518,276/128,038
  6. Step 6: Final answer
    x = 293,416.94

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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.