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Finding the Third Proportional to 74,811 and 111,963

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Solution

The third proportional to 74,811 and 111,963 is: 167,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,811 : 111,963 = 111,963 : x
  2. Step 2: Convert to fraction form
    74,811/111,963 = 111,963/x
  3. Step 3: Cross multiply
    74,811x = 111,963 × 111,963
  4. Step 4: Simplify right side
    74,811x = 12,535,713,369
  5. Step 5: Solve for x
    x = 12,535,713,369/74,811
  6. Step 6: Final answer
    x = 167,565.11

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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.