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Finding the Third Proportional to 76,336 and 154,828

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Solution

The third proportional to 76,336 and 154,828 is: 314,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,336 : 154,828 = 154,828 : x
  2. Step 2: Convert to fraction form
    76,336/154,828 = 154,828/x
  3. Step 3: Cross multiply
    76,336x = 154,828 × 154,828
  4. Step 4: Simplify right side
    76,336x = 23,971,709,584
  5. Step 5: Solve for x
    x = 23,971,709,584/76,336
  6. Step 6: Final answer
    x = 314,028.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.