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Finding the Third Proportional to 119,962 and 254,683

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Solution

The third proportional to 119,962 and 254,683 is: 540,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,962 : 254,683 = 254,683 : x
  2. Step 2: Convert to fraction form
    119,962/254,683 = 254,683/x
  3. Step 3: Cross multiply
    119,962x = 254,683 × 254,683
  4. Step 4: Simplify right side
    119,962x = 64,863,430,489
  5. Step 5: Solve for x
    x = 64,863,430,489/119,962
  6. Step 6: Final answer
    x = 540,699.81

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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.