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Finding the Third Proportional to 42,744 and 93,264

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Solution

The third proportional to 42,744 and 93,264 is: 203,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,744 : 93,264 = 93,264 : x
  2. Step 2: Convert to fraction form
    42,744/93,264 = 93,264/x
  3. Step 3: Cross multiply
    42,744x = 93,264 × 93,264
  4. Step 4: Simplify right side
    42,744x = 8,698,173,696
  5. Step 5: Solve for x
    x = 8,698,173,696/42,744
  6. Step 6: Final answer
    x = 203,494.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.