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Finding the Third Proportional to 116,829.84 and 175,048.59

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Solution

The third proportional to 116,829.84 and 175,048.59 is: 262,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,829.84 : 175,048.59 = 175,048.59 : x
  2. Step 2: Convert to fraction form
    116,829.84/175,048.59 = 175,048.59/x
  3. Step 3: Cross multiply
    116,829.84x = 175,048.59 × 175,048.59
  4. Step 4: Simplify right side
    116,829.84x = 30,642,010,173.85
  5. Step 5: Solve for x
    x = 30,642,010,173.85/116,829.84
  6. Step 6: Final answer
    x = 262,278.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.