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Finding the Third Proportional to 67,635.94 and 105,137.91

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Solution

The third proportional to 67,635.94 and 105,137.91 is: 163,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,635.94 : 105,137.91 = 105,137.91 : x
  2. Step 2: Convert to fraction form
    67,635.94/105,137.91 = 105,137.91/x
  3. Step 3: Cross multiply
    67,635.94x = 105,137.91 × 105,137.91
  4. Step 4: Simplify right side
    67,635.94x = 11,053,979,330.63
  5. Step 5: Solve for x
    x = 11,053,979,330.63/67,635.94
  6. Step 6: Final answer
    x = 163,433.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.