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Finding the Third Proportional to 75,780 and 159,416

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Solution

The third proportional to 75,780 and 159,416 is: 335,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,780 : 159,416 = 159,416 : x
  2. Step 2: Convert to fraction form
    75,780/159,416 = 159,416/x
  3. Step 3: Cross multiply
    75,780x = 159,416 × 159,416
  4. Step 4: Simplify right side
    75,780x = 25,413,461,056
  5. Step 5: Solve for x
    x = 25,413,461,056/75,780
  6. Step 6: Final answer
    x = 335,358.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.