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Finding the Third Proportional to 83,913 and 163,563

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Solution

The third proportional to 83,913 and 163,563 is: 318,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,913 : 163,563 = 163,563 : x
  2. Step 2: Convert to fraction form
    83,913/163,563 = 163,563/x
  3. Step 3: Cross multiply
    83,913x = 163,563 × 163,563
  4. Step 4: Simplify right side
    83,913x = 26,752,854,969
  5. Step 5: Solve for x
    x = 26,752,854,969/83,913
  6. Step 6: Final answer
    x = 318,816.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.