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Finding the Third Proportional to 75,925 and 181,336

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Solution

The third proportional to 75,925 and 181,336 is: 433,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,925 : 181,336 = 181,336 : x
  2. Step 2: Convert to fraction form
    75,925/181,336 = 181,336/x
  3. Step 3: Cross multiply
    75,925x = 181,336 × 181,336
  4. Step 4: Simplify right side
    75,925x = 32,882,744,896
  5. Step 5: Solve for x
    x = 32,882,744,896/75,925
  6. Step 6: Final answer
    x = 433,095.09

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.