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Finding the Third Proportional to 138,096 and 283,968

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Solution

The third proportional to 138,096 and 283,968 is: 583,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,096 : 283,968 = 283,968 : x
  2. Step 2: Convert to fraction form
    138,096/283,968 = 283,968/x
  3. Step 3: Cross multiply
    138,096x = 283,968 × 283,968
  4. Step 4: Simplify right side
    138,096x = 80,637,825,024
  5. Step 5: Solve for x
    x = 80,637,825,024/138,096
  6. Step 6: Final answer
    x = 583,925.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.