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Finding the Third Proportional to 42,684 and 93,144

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Solution

The third proportional to 42,684 and 93,144 is: 203,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,684 : 93,144 = 93,144 : x
  2. Step 2: Convert to fraction form
    42,684/93,144 = 93,144/x
  3. Step 3: Cross multiply
    42,684x = 93,144 × 93,144
  4. Step 4: Simplify right side
    42,684x = 8,675,804,736
  5. Step 5: Solve for x
    x = 8,675,804,736/42,684
  6. Step 6: Final answer
    x = 203,256.60

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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.