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Finding the Third Proportional to 63,096 and 96,982

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Solution

The third proportional to 63,096 and 96,982 is: 149,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,096 : 96,982 = 96,982 : x
  2. Step 2: Convert to fraction form
    63,096/96,982 = 96,982/x
  3. Step 3: Cross multiply
    63,096x = 96,982 × 96,982
  4. Step 4: Simplify right side
    63,096x = 9,405,508,324
  5. Step 5: Solve for x
    x = 9,405,508,324/63,096
  6. Step 6: Final answer
    x = 149,066.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.