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Finding the Third Proportional to 51,510 and 119,246

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Solution

The third proportional to 51,510 and 119,246 is: 276,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,510 : 119,246 = 119,246 : x
  2. Step 2: Convert to fraction form
    51,510/119,246 = 119,246/x
  3. Step 3: Cross multiply
    51,510x = 119,246 × 119,246
  4. Step 4: Simplify right side
    51,510x = 14,219,608,516
  5. Step 5: Solve for x
    x = 14,219,608,516/51,510
  6. Step 6: Final answer
    x = 276,055.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.