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Finding the Third Proportional to 46,161 and 75,369.50

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Solution

The third proportional to 46,161 and 75,369.50 is: 123,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,161 : 75,369.50 = 75,369.50 : x
  2. Step 2: Convert to fraction form
    46,161/75,369.50 = 75,369.50/x
  3. Step 3: Cross multiply
    46,161x = 75,369.50 × 75,369.50
  4. Step 4: Simplify right side
    46,161x = 5,680,561,530.25
  5. Step 5: Solve for x
    x = 5,680,561,530.25/46,161
  6. Step 6: Final answer
    x = 123,059.76

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.