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Finding the Third Proportional to 70,848 and 95,796

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Solution

The third proportional to 70,848 and 95,796 is: 129,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,848 : 95,796 = 95,796 : x
  2. Step 2: Convert to fraction form
    70,848/95,796 = 95,796/x
  3. Step 3: Cross multiply
    70,848x = 95,796 × 95,796
  4. Step 4: Simplify right side
    70,848x = 9,176,873,616
  5. Step 5: Solve for x
    x = 9,176,873,616/70,848
  6. Step 6: Final answer
    x = 129,529.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.