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Finding the Third Proportional to 94,713 and 147,049

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Solution

The third proportional to 94,713 and 147,049 is: 228,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,713 : 147,049 = 147,049 : x
  2. Step 2: Convert to fraction form
    94,713/147,049 = 147,049/x
  3. Step 3: Cross multiply
    94,713x = 147,049 × 147,049
  4. Step 4: Simplify right side
    94,713x = 21,623,408,401
  5. Step 5: Solve for x
    x = 21,623,408,401/94,713
  6. Step 6: Final answer
    x = 228,304.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.