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Finding the Third Proportional to 80,696 and 172,510

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Solution

The third proportional to 80,696 and 172,510 is: 368,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,696 : 172,510 = 172,510 : x
  2. Step 2: Convert to fraction form
    80,696/172,510 = 172,510/x
  3. Step 3: Cross multiply
    80,696x = 172,510 × 172,510
  4. Step 4: Simplify right side
    80,696x = 29,759,700,100
  5. Step 5: Solve for x
    x = 29,759,700,100/80,696
  6. Step 6: Final answer
    x = 368,787.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.