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Finding the Third Proportional to 116,589.38 and 171,056.81

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Solution

The third proportional to 116,589.38 and 171,056.81 is: 250,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,589.38 : 171,056.81 = 171,056.81 : x
  2. Step 2: Convert to fraction form
    116,589.38/171,056.81 = 171,056.81/x
  3. Step 3: Cross multiply
    116,589.38x = 171,056.81 × 171,056.81
  4. Step 4: Simplify right side
    116,589.38x = 29,260,433,102.66
  5. Step 5: Solve for x
    x = 29,260,433,102.66/116,589.38
  6. Step 6: Final answer
    x = 250,969.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.