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Finding the Third Proportional to 141,895 and 212,452

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Solution

The third proportional to 141,895 and 212,452 is: 318,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,895 : 212,452 = 212,452 : x
  2. Step 2: Convert to fraction form
    141,895/212,452 = 212,452/x
  3. Step 3: Cross multiply
    141,895x = 212,452 × 212,452
  4. Step 4: Simplify right side
    141,895x = 45,135,852,304
  5. Step 5: Solve for x
    x = 45,135,852,304/141,895
  6. Step 6: Final answer
    x = 318,093.32

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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.