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Finding the Third Proportional to 75,984.50 and 164,848

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Solution

The third proportional to 75,984.50 and 164,848 is: 357,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,984.50 : 164,848 = 164,848 : x
  2. Step 2: Convert to fraction form
    75,984.50/164,848 = 164,848/x
  3. Step 3: Cross multiply
    75,984.50x = 164,848 × 164,848
  4. Step 4: Simplify right side
    75,984.50x = 27,174,863,104
  5. Step 5: Solve for x
    x = 27,174,863,104/75,984.50
  6. Step 6: Final answer
    x = 357,636.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.