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Finding the Third Proportional to 112,299 and 168,903

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Solution

The third proportional to 112,299 and 168,903 is: 254,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,299 : 168,903 = 168,903 : x
  2. Step 2: Convert to fraction form
    112,299/168,903 = 168,903/x
  3. Step 3: Cross multiply
    112,299x = 168,903 × 168,903
  4. Step 4: Simplify right side
    112,299x = 28,528,223,409
  5. Step 5: Solve for x
    x = 28,528,223,409/112,299
  6. Step 6: Final answer
    x = 254,038.09

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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.