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Finding the Third Proportional to 47,950.50 and 106,381

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Solution

The third proportional to 47,950.50 and 106,381 is: 236,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,950.50 : 106,381 = 106,381 : x
  2. Step 2: Convert to fraction form
    47,950.50/106,381 = 106,381/x
  3. Step 3: Cross multiply
    47,950.50x = 106,381 × 106,381
  4. Step 4: Simplify right side
    47,950.50x = 11,316,917,161
  5. Step 5: Solve for x
    x = 11,316,917,161/47,950.50
  6. Step 6: Final answer
    x = 236,012.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.