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Finding the Third Proportional to 85,276 and 180,942

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Solution

The third proportional to 85,276 and 180,942 is: 383,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,276 : 180,942 = 180,942 : x
  2. Step 2: Convert to fraction form
    85,276/180,942 = 180,942/x
  3. Step 3: Cross multiply
    85,276x = 180,942 × 180,942
  4. Step 4: Simplify right side
    85,276x = 32,740,007,364
  5. Step 5: Solve for x
    x = 32,740,007,364/85,276
  6. Step 6: Final answer
    x = 383,929.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.