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Finding the Third Proportional to 116,829.84 and 175,049.86

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Solution

The third proportional to 116,829.84 and 175,049.86 is: 262,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,829.84 : 175,049.86 = 175,049.86 : x
  2. Step 2: Convert to fraction form
    116,829.84/175,049.86 = 175,049.86/x
  3. Step 3: Cross multiply
    116,829.84x = 175,049.86 × 175,049.86
  4. Step 4: Simplify right side
    116,829.84x = 30,642,453,267.21
  5. Step 5: Solve for x
    x = 30,642,453,267.21/116,829.84
  6. Step 6: Final answer
    x = 262,282.75

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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.