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Finding the Third Proportional to 51,516.50 and 108,645

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Solution

The third proportional to 51,516.50 and 108,645 is: 229,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,516.50 : 108,645 = 108,645 : x
  2. Step 2: Convert to fraction form
    51,516.50/108,645 = 108,645/x
  3. Step 3: Cross multiply
    51,516.50x = 108,645 × 108,645
  4. Step 4: Simplify right side
    51,516.50x = 11,803,736,025
  5. Step 5: Solve for x
    x = 11,803,736,025/51,516.50
  6. Step 6: Final answer
    x = 229,125.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.