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Finding the Third Proportional to 141,084 and 193,482

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Solution

The third proportional to 141,084 and 193,482 is: 265,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,084 : 193,482 = 193,482 : x
  2. Step 2: Convert to fraction form
    141,084/193,482 = 193,482/x
  3. Step 3: Cross multiply
    141,084x = 193,482 × 193,482
  4. Step 4: Simplify right side
    141,084x = 37,435,284,324
  5. Step 5: Solve for x
    x = 37,435,284,324/141,084
  6. Step 6: Final answer
    x = 265,340.40

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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.