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Finding the Third Proportional to 81,189 and 187,953

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Solution

The third proportional to 81,189 and 187,953 is: 435,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,189 : 187,953 = 187,953 : x
  2. Step 2: Convert to fraction form
    81,189/187,953 = 187,953/x
  3. Step 3: Cross multiply
    81,189x = 187,953 × 187,953
  4. Step 4: Simplify right side
    81,189x = 35,326,330,209
  5. Step 5: Solve for x
    x = 35,326,330,209/81,189
  6. Step 6: Final answer
    x = 435,112.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.