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Finding the Third Proportional to 45,530 and 96,580

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Solution

The third proportional to 45,530 and 96,580 is: 204,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,530 : 96,580 = 96,580 : x
  2. Step 2: Convert to fraction form
    45,530/96,580 = 96,580/x
  3. Step 3: Cross multiply
    45,530x = 96,580 × 96,580
  4. Step 4: Simplify right side
    45,530x = 9,327,696,400
  5. Step 5: Solve for x
    x = 9,327,696,400/45,530
  6. Step 6: Final answer
    x = 204,869.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.