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Finding the Third Proportional to 112,036.50 and 168,176.25

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Solution

The third proportional to 112,036.50 and 168,176.25 is: 252,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,036.50 : 168,176.25 = 168,176.25 : x
  2. Step 2: Convert to fraction form
    112,036.50/168,176.25 = 168,176.25/x
  3. Step 3: Cross multiply
    112,036.50x = 168,176.25 × 168,176.25
  4. Step 4: Simplify right side
    112,036.50x = 28,283,251,064.06
  5. Step 5: Solve for x
    x = 28,283,251,064.06/112,036.50
  6. Step 6: Final answer
    x = 252,446.76

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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.