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Finding the Third Proportional to 141,048 and 193,410

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Solution

The third proportional to 141,048 and 193,410 is: 265,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,048 : 193,410 = 193,410 : x
  2. Step 2: Convert to fraction form
    141,048/193,410 = 193,410/x
  3. Step 3: Cross multiply
    141,048x = 193,410 × 193,410
  4. Step 4: Simplify right side
    141,048x = 37,407,428,100
  5. Step 5: Solve for x
    x = 37,407,428,100/141,048
  6. Step 6: Final answer
    x = 265,210.62

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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.