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Finding the Third Proportional to 94,466 and 144,675

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Solution

The third proportional to 94,466 and 144,675 is: 221,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,466 : 144,675 = 144,675 : x
  2. Step 2: Convert to fraction form
    94,466/144,675 = 144,675/x
  3. Step 3: Cross multiply
    94,466x = 144,675 × 144,675
  4. Step 4: Simplify right side
    94,466x = 20,930,855,625
  5. Step 5: Solve for x
    x = 20,930,855,625/94,466
  6. Step 6: Final answer
    x = 221,570.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.