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Finding the Third Proportional to 112,324 and 168,942

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Solution

The third proportional to 112,324 and 168,942 is: 254,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,324 : 168,942 = 168,942 : x
  2. Step 2: Convert to fraction form
    112,324/168,942 = 168,942/x
  3. Step 3: Cross multiply
    112,324x = 168,942 × 168,942
  4. Step 4: Simplify right side
    112,324x = 28,541,399,364
  5. Step 5: Solve for x
    x = 28,541,399,364/112,324
  6. Step 6: Final answer
    x = 254,098.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.