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Finding the Third Proportional to 49,072.50 and 76,126.50

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Solution

The third proportional to 49,072.50 and 76,126.50 is: 118,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,072.50 : 76,126.50 = 76,126.50 : x
  2. Step 2: Convert to fraction form
    49,072.50/76,126.50 = 76,126.50/x
  3. Step 3: Cross multiply
    49,072.50x = 76,126.50 × 76,126.50
  4. Step 4: Simplify right side
    49,072.50x = 5,795,244,002.25
  5. Step 5: Solve for x
    x = 5,795,244,002.25/49,072.50
  6. Step 6: Final answer
    x = 118,095.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.