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Finding the Third Proportional to 100,530 and 153,154

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Solution

The third proportional to 100,530 and 153,154 is: 233,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,530 : 153,154 = 153,154 : x
  2. Step 2: Convert to fraction form
    100,530/153,154 = 153,154/x
  3. Step 3: Cross multiply
    100,530x = 153,154 × 153,154
  4. Step 4: Simplify right side
    100,530x = 23,456,147,716
  5. Step 5: Solve for x
    x = 23,456,147,716/100,530
  6. Step 6: Final answer
    x = 233,324.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.