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Finding the Third Proportional to 85,243 and 179,473

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Solution

The third proportional to 85,243 and 179,473 is: 377,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,243 : 179,473 = 179,473 : x
  2. Step 2: Convert to fraction form
    85,243/179,473 = 179,473/x
  3. Step 3: Cross multiply
    85,243x = 179,473 × 179,473
  4. Step 4: Simplify right side
    85,243x = 32,210,557,729
  5. Step 5: Solve for x
    x = 32,210,557,729/85,243
  6. Step 6: Final answer
    x = 377,867.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.