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Finding the Third Proportional to 79,973 and 169,786

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Solution

The third proportional to 79,973 and 169,786 is: 360,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,973 : 169,786 = 169,786 : x
  2. Step 2: Convert to fraction form
    79,973/169,786 = 169,786/x
  3. Step 3: Cross multiply
    79,973x = 169,786 × 169,786
  4. Step 4: Simplify right side
    79,973x = 28,827,285,796
  5. Step 5: Solve for x
    x = 28,827,285,796/79,973
  6. Step 6: Final answer
    x = 360,462.73

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.