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Finding the Third Proportional to 70,029 and 104,796

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Solution

The third proportional to 70,029 and 104,796 is: 156,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,029 : 104,796 = 104,796 : x
  2. Step 2: Convert to fraction form
    70,029/104,796 = 104,796/x
  3. Step 3: Cross multiply
    70,029x = 104,796 × 104,796
  4. Step 4: Simplify right side
    70,029x = 10,982,201,616
  5. Step 5: Solve for x
    x = 10,982,201,616/70,029
  6. Step 6: Final answer
    x = 156,823.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.