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Finding the Third Proportional to 58,530 and 114,108

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Solution

The third proportional to 58,530 and 114,108 is: 222,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,530 : 114,108 = 114,108 : x
  2. Step 2: Convert to fraction form
    58,530/114,108 = 114,108/x
  3. Step 3: Cross multiply
    58,530x = 114,108 × 114,108
  4. Step 4: Simplify right side
    58,530x = 13,020,635,664
  5. Step 5: Solve for x
    x = 13,020,635,664/58,530
  6. Step 6: Final answer
    x = 222,460.89

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.