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Finding the Third Proportional to 107,024 and 165,947

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Solution

The third proportional to 107,024 and 165,947 is: 257,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,024 : 165,947 = 165,947 : x
  2. Step 2: Convert to fraction form
    107,024/165,947 = 165,947/x
  3. Step 3: Cross multiply
    107,024x = 165,947 × 165,947
  4. Step 4: Simplify right side
    107,024x = 27,538,406,809
  5. Step 5: Solve for x
    x = 27,538,406,809/107,024
  6. Step 6: Final answer
    x = 257,310.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.