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Finding the Third Proportional to 49,774.50 and 107,471.81

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Solution

The third proportional to 49,774.50 and 107,471.81 is: 232,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,774.50 : 107,471.81 = 107,471.81 : x
  2. Step 2: Convert to fraction form
    49,774.50/107,471.81 = 107,471.81/x
  3. Step 3: Cross multiply
    49,774.50x = 107,471.81 × 107,471.81
  4. Step 4: Simplify right side
    49,774.50x = 11,550,190,482.04
  5. Step 5: Solve for x
    x = 11,550,190,482.04/49,774.50
  6. Step 6: Final answer
    x = 232,050.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.