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Finding the Third Proportional to 106,960.50 and 187,675.88

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Solution

The third proportional to 106,960.50 and 187,675.88 is: 329,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,960.50 : 187,675.88 = 187,675.88 : x
  2. Step 2: Convert to fraction form
    106,960.50/187,675.88 = 187,675.88/x
  3. Step 3: Cross multiply
    106,960.50x = 187,675.88 × 187,675.88
  4. Step 4: Simplify right side
    106,960.50x = 35,222,234,057.02
  5. Step 5: Solve for x
    x = 35,222,234,057.02/106,960.50
  6. Step 6: Final answer
    x = 329,301.32

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.