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Finding the Third Proportional to 73,106 and 159,432

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Solution

The third proportional to 73,106 and 159,432 is: 347,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,106 : 159,432 = 159,432 : x
  2. Step 2: Convert to fraction form
    73,106/159,432 = 159,432/x
  3. Step 3: Cross multiply
    73,106x = 159,432 × 159,432
  4. Step 4: Simplify right side
    73,106x = 25,418,562,624
  5. Step 5: Solve for x
    x = 25,418,562,624/73,106
  6. Step 6: Final answer
    x = 347,694.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.