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Finding the Third Proportional to 58,763 and 129,190

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Solution

The third proportional to 58,763 and 129,190 is: 284,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,763 : 129,190 = 129,190 : x
  2. Step 2: Convert to fraction form
    58,763/129,190 = 129,190/x
  3. Step 3: Cross multiply
    58,763x = 129,190 × 129,190
  4. Step 4: Simplify right side
    58,763x = 16,690,056,100
  5. Step 5: Solve for x
    x = 16,690,056,100/58,763
  6. Step 6: Final answer
    x = 284,023.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.