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Finding the Third Proportional to 141,893 and 212,449

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Solution

The third proportional to 141,893 and 212,449 is: 318,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,893 : 212,449 = 212,449 : x
  2. Step 2: Convert to fraction form
    141,893/212,449 = 212,449/x
  3. Step 3: Cross multiply
    141,893x = 212,449 × 212,449
  4. Step 4: Simplify right side
    141,893x = 45,134,577,601
  5. Step 5: Solve for x
    x = 45,134,577,601/141,893
  6. Step 6: Final answer
    x = 318,088.82

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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.