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Finding the Third Proportional to 79,768 and 163,633

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Solution

The third proportional to 79,768 and 163,633 is: 335,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,768 : 163,633 = 163,633 : x
  2. Step 2: Convert to fraction form
    79,768/163,633 = 163,633/x
  3. Step 3: Cross multiply
    79,768x = 163,633 × 163,633
  4. Step 4: Simplify right side
    79,768x = 26,775,758,689
  5. Step 5: Solve for x
    x = 26,775,758,689/79,768
  6. Step 6: Final answer
    x = 335,670.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.