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Finding the Third Proportional to 46,942.50 and 96,072

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Solution

The third proportional to 46,942.50 and 96,072 is: 196,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,942.50 : 96,072 = 96,072 : x
  2. Step 2: Convert to fraction form
    46,942.50/96,072 = 96,072/x
  3. Step 3: Cross multiply
    46,942.50x = 96,072 × 96,072
  4. Step 4: Simplify right side
    46,942.50x = 9,229,829,184
  5. Step 5: Solve for x
    x = 9,229,829,184/46,942.50
  6. Step 6: Final answer
    x = 196,619.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.