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Finding the Third Proportional to 141,048 and 211,842

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Solution

The third proportional to 141,048 and 211,842 is: 318,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,048 : 211,842 = 211,842 : x
  2. Step 2: Convert to fraction form
    141,048/211,842 = 211,842/x
  3. Step 3: Cross multiply
    141,048x = 211,842 × 211,842
  4. Step 4: Simplify right side
    141,048x = 44,877,032,964
  5. Step 5: Solve for x
    x = 44,877,032,964/141,048
  6. Step 6: Final answer
    x = 318,168.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.