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Finding the Third Proportional to 80,032 and 169,928

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Solution

The third proportional to 80,032 and 169,928 is: 360,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,032 : 169,928 = 169,928 : x
  2. Step 2: Convert to fraction form
    80,032/169,928 = 169,928/x
  3. Step 3: Cross multiply
    80,032x = 169,928 × 169,928
  4. Step 4: Simplify right side
    80,032x = 28,875,525,184
  5. Step 5: Solve for x
    x = 28,875,525,184/80,032
  6. Step 6: Final answer
    x = 360,799.74

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Why These Related Problems?

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