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Finding the Third Proportional to 70,788 and 155,563

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Solution

The third proportional to 70,788 and 155,563 is: 341,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,788 : 155,563 = 155,563 : x
  2. Step 2: Convert to fraction form
    70,788/155,563 = 155,563/x
  3. Step 3: Cross multiply
    70,788x = 155,563 × 155,563
  4. Step 4: Simplify right side
    70,788x = 24,199,846,969
  5. Step 5: Solve for x
    x = 24,199,846,969/70,788
  6. Step 6: Final answer
    x = 341,863.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.