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Finding the Third Proportional to 49,206 and 75,991.50

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Solution

The third proportional to 49,206 and 75,991.50 is: 117,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,206 : 75,991.50 = 75,991.50 : x
  2. Step 2: Convert to fraction form
    49,206/75,991.50 = 75,991.50/x
  3. Step 3: Cross multiply
    49,206x = 75,991.50 × 75,991.50
  4. Step 4: Simplify right side
    49,206x = 5,774,708,072.25
  5. Step 5: Solve for x
    x = 5,774,708,072.25/49,206
  6. Step 6: Final answer
    x = 117,357.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.