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Finding the Third Proportional to 37,767 and 78,264

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Solution

The third proportional to 37,767 and 78,264 is: 162,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,767 : 78,264 = 78,264 : x
  2. Step 2: Convert to fraction form
    37,767/78,264 = 78,264/x
  3. Step 3: Cross multiply
    37,767x = 78,264 × 78,264
  4. Step 4: Simplify right side
    37,767x = 6,125,253,696
  5. Step 5: Solve for x
    x = 6,125,253,696/37,767
  6. Step 6: Final answer
    x = 162,185.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.