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Finding the Third Proportional to 116,643.38 and 175,056.75

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Solution

The third proportional to 116,643.38 and 175,056.75 is: 262,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,643.38 : 175,056.75 = 175,056.75 : x
  2. Step 2: Convert to fraction form
    116,643.38/175,056.75 = 175,056.75/x
  3. Step 3: Cross multiply
    116,643.38x = 175,056.75 × 175,056.75
  4. Step 4: Simplify right side
    116,643.38x = 30,644,865,720.56
  5. Step 5: Solve for x
    x = 30,644,865,720.56/116,643.38
  6. Step 6: Final answer
    x = 262,722.73

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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.