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Finding the Third Proportional to 58,765 and 129,195

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Solution

The third proportional to 58,765 and 129,195 is: 284,035.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,765 : 129,195 = 129,195 : x
  2. Step 2: Convert to fraction form
    58,765/129,195 = 129,195/x
  3. Step 3: Cross multiply
    58,765x = 129,195 × 129,195
  4. Step 4: Simplify right side
    58,765x = 16,691,348,025
  5. Step 5: Solve for x
    x = 16,691,348,025/58,765
  6. Step 6: Final answer
    x = 284,035.53

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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.