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Finding the Third Proportional to 51,818.50 and 110,747

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Solution

The third proportional to 51,818.50 and 110,747 is: 236,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,818.50 : 110,747 = 110,747 : x
  2. Step 2: Convert to fraction form
    51,818.50/110,747 = 110,747/x
  3. Step 3: Cross multiply
    51,818.50x = 110,747 × 110,747
  4. Step 4: Simplify right side
    51,818.50x = 12,264,898,009
  5. Step 5: Solve for x
    x = 12,264,898,009/51,818.50
  6. Step 6: Final answer
    x = 236,689.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.