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Finding the Third Proportional to 112,807.69 and 169,235.58

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Solution

The third proportional to 112,807.69 and 169,235.58 is: 253,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,807.69 : 169,235.58 = 169,235.58 : x
  2. Step 2: Convert to fraction form
    112,807.69/169,235.58 = 169,235.58/x
  3. Step 3: Cross multiply
    112,807.69x = 169,235.58 × 169,235.58
  4. Step 4: Simplify right side
    112,807.69x = 28,640,680,903.30
  5. Step 5: Solve for x
    x = 28,640,680,903.30/112,807.69
  6. Step 6: Final answer
    x = 253,889.44

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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.