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Finding the Third Proportional to 73,106 and 159,433

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Solution

The third proportional to 73,106 and 159,433 is: 347,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,106 : 159,433 = 159,433 : x
  2. Step 2: Convert to fraction form
    73,106/159,433 = 159,433/x
  3. Step 3: Cross multiply
    73,106x = 159,433 × 159,433
  4. Step 4: Simplify right side
    73,106x = 25,418,881,489
  5. Step 5: Solve for x
    x = 25,418,881,489/73,106
  6. Step 6: Final answer
    x = 347,698.98

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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.