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Finding the Third Proportional to 89,100 and 183,849.75

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Solution

The third proportional to 89,100 and 183,849.75 is: 379,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,100 : 183,849.75 = 183,849.75 : x
  2. Step 2: Convert to fraction form
    89,100/183,849.75 = 183,849.75/x
  3. Step 3: Cross multiply
    89,100x = 183,849.75 × 183,849.75
  4. Step 4: Simplify right side
    89,100x = 33,800,730,575.06
  5. Step 5: Solve for x
    x = 33,800,730,575.06/89,100
  6. Step 6: Final answer
    x = 379,357.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.