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Finding the Third Proportional to 101,422 and 159,098

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Solution

The third proportional to 101,422 and 159,098 is: 249,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,422 : 159,098 = 159,098 : x
  2. Step 2: Convert to fraction form
    101,422/159,098 = 159,098/x
  3. Step 3: Cross multiply
    101,422x = 159,098 × 159,098
  4. Step 4: Simplify right side
    101,422x = 25,312,173,604
  5. Step 5: Solve for x
    x = 25,312,173,604/101,422
  6. Step 6: Final answer
    x = 249,572.81

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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.