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Finding the Third Proportional to 70,848 and 96,268

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Solution

The third proportional to 70,848 and 96,268 is: 130,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,848 : 96,268 = 96,268 : x
  2. Step 2: Convert to fraction form
    70,848/96,268 = 96,268/x
  3. Step 3: Cross multiply
    70,848x = 96,268 × 96,268
  4. Step 4: Simplify right side
    70,848x = 9,267,527,824
  5. Step 5: Solve for x
    x = 9,267,527,824/70,848
  6. Step 6: Final answer
    x = 130,808.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.