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Finding the Third Proportional to 79,818 and 170,004

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Solution

The third proportional to 79,818 and 170,004 is: 362,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,818 : 170,004 = 170,004 : x
  2. Step 2: Convert to fraction form
    79,818/170,004 = 170,004/x
  3. Step 3: Cross multiply
    79,818x = 170,004 × 170,004
  4. Step 4: Simplify right side
    79,818x = 28,901,360,016
  5. Step 5: Solve for x
    x = 28,901,360,016/79,818
  6. Step 6: Final answer
    x = 362,090.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.