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Finding the Third Proportional to 45,042 and 104,262

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Solution

The third proportional to 45,042 and 104,262 is: 241,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,042 : 104,262 = 104,262 : x
  2. Step 2: Convert to fraction form
    45,042/104,262 = 104,262/x
  3. Step 3: Cross multiply
    45,042x = 104,262 × 104,262
  4. Step 4: Simplify right side
    45,042x = 10,870,564,644
  5. Step 5: Solve for x
    x = 10,870,564,644/45,042
  6. Step 6: Final answer
    x = 241,342.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.