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Finding the Third Proportional to 101,450 and 159,141

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Solution

The third proportional to 101,450 and 159,141 is: 249,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,450 : 159,141 = 159,141 : x
  2. Step 2: Convert to fraction form
    101,450/159,141 = 159,141/x
  3. Step 3: Cross multiply
    101,450x = 159,141 × 159,141
  4. Step 4: Simplify right side
    101,450x = 25,325,857,881
  5. Step 5: Solve for x
    x = 25,325,857,881/101,450
  6. Step 6: Final answer
    x = 249,638.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.