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Finding the Third Proportional to 92,072 and 190,688

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Solution

The third proportional to 92,072 and 190,688 is: 394,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,072 : 190,688 = 190,688 : x
  2. Step 2: Convert to fraction form
    92,072/190,688 = 190,688/x
  3. Step 3: Cross multiply
    92,072x = 190,688 × 190,688
  4. Step 4: Simplify right side
    92,072x = 36,361,913,344
  5. Step 5: Solve for x
    x = 36,361,913,344/92,072
  6. Step 6: Final answer
    x = 394,929.11

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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.