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Finding the Third Proportional to 42,890 and 94,960

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Solution

The third proportional to 42,890 and 94,960 is: 210,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,890 : 94,960 = 94,960 : x
  2. Step 2: Convert to fraction form
    42,890/94,960 = 94,960/x
  3. Step 3: Cross multiply
    42,890x = 94,960 × 94,960
  4. Step 4: Simplify right side
    42,890x = 9,017,401,600
  5. Step 5: Solve for x
    x = 9,017,401,600/42,890
  6. Step 6: Final answer
    x = 210,244.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.