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Finding the Third Proportional to 49,912.50 and 75,072

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Solution

The third proportional to 49,912.50 and 75,072 is: 112,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,912.50 : 75,072 = 75,072 : x
  2. Step 2: Convert to fraction form
    49,912.50/75,072 = 75,072/x
  3. Step 3: Cross multiply
    49,912.50x = 75,072 × 75,072
  4. Step 4: Simplify right side
    49,912.50x = 5,635,805,184
  5. Step 5: Solve for x
    x = 5,635,805,184/49,912.50
  6. Step 6: Final answer
    x = 112,913.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.