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Finding the Third Proportional to 101,424 and 159,101

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Solution

The third proportional to 101,424 and 159,101 is: 249,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,424 : 159,101 = 159,101 : x
  2. Step 2: Convert to fraction form
    101,424/159,101 = 159,101/x
  3. Step 3: Cross multiply
    101,424x = 159,101 × 159,101
  4. Step 4: Simplify right side
    101,424x = 25,313,128,201
  5. Step 5: Solve for x
    x = 25,313,128,201/101,424
  6. Step 6: Final answer
    x = 249,577.30

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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.