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Finding the Third Proportional to 101,454 and 159,147

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Solution

The third proportional to 101,454 and 159,147 is: 249,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,454 : 159,147 = 159,147 : x
  2. Step 2: Convert to fraction form
    101,454/159,147 = 159,147/x
  3. Step 3: Cross multiply
    101,454x = 159,147 × 159,147
  4. Step 4: Simplify right side
    101,454x = 25,327,767,609
  5. Step 5: Solve for x
    x = 25,327,767,609/101,454
  6. Step 6: Final answer
    x = 249,647.80

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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.