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Finding the Third Proportional to 102,813 and 237,996

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Solution

The third proportional to 102,813 and 237,996 is: 550,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,813 : 237,996 = 237,996 : x
  2. Step 2: Convert to fraction form
    102,813/237,996 = 237,996/x
  3. Step 3: Cross multiply
    102,813x = 237,996 × 237,996
  4. Step 4: Simplify right side
    102,813x = 56,642,096,016
  5. Step 5: Solve for x
    x = 56,642,096,016/102,813
  6. Step 6: Final answer
    x = 550,923.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.