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Finding the Third Proportional to 43,235 and 93,141

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Solution

The third proportional to 43,235 and 93,141 is: 200,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,235 : 93,141 = 93,141 : x
  2. Step 2: Convert to fraction form
    43,235/93,141 = 93,141/x
  3. Step 3: Cross multiply
    43,235x = 93,141 × 93,141
  4. Step 4: Simplify right side
    43,235x = 8,675,245,881
  5. Step 5: Solve for x
    x = 8,675,245,881/43,235
  6. Step 6: Final answer
    x = 200,653.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.