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Finding the Third Proportional to 112,813.50 and 169,244.63

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Solution

The third proportional to 112,813.50 and 169,244.63 is: 253,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,813.50 : 169,244.63 = 169,244.63 : x
  2. Step 2: Convert to fraction form
    112,813.50/169,244.63 = 169,244.63/x
  3. Step 3: Cross multiply
    112,813.50x = 169,244.63 × 169,244.63
  4. Step 4: Simplify right side
    112,813.50x = 28,643,743,091.39
  5. Step 5: Solve for x
    x = 28,643,743,091.39/112,813.50
  6. Step 6: Final answer
    x = 253,903.51

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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.