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Finding the Third Proportional to 102,096 and 153,242

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Solution

The third proportional to 102,096 and 153,242 is: 230,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,096 : 153,242 = 153,242 : x
  2. Step 2: Convert to fraction form
    102,096/153,242 = 153,242/x
  3. Step 3: Cross multiply
    102,096x = 153,242 × 153,242
  4. Step 4: Simplify right side
    102,096x = 23,483,110,564
  5. Step 5: Solve for x
    x = 23,483,110,564/102,096
  6. Step 6: Final answer
    x = 230,010.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.