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Finding the Third Proportional to 79,004 and 169,080

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Solution

The third proportional to 79,004 and 169,080 is: 361,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,004 : 169,080 = 169,080 : x
  2. Step 2: Convert to fraction form
    79,004/169,080 = 169,080/x
  3. Step 3: Cross multiply
    79,004x = 169,080 × 169,080
  4. Step 4: Simplify right side
    79,004x = 28,588,046,400
  5. Step 5: Solve for x
    x = 28,588,046,400/79,004
  6. Step 6: Final answer
    x = 361,855.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.