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Finding the Third Proportional to 116,911 and 252,065

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Solution

The third proportional to 116,911 and 252,065 is: 543,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,911 : 252,065 = 252,065 : x
  2. Step 2: Convert to fraction form
    116,911/252,065 = 252,065/x
  3. Step 3: Cross multiply
    116,911x = 252,065 × 252,065
  4. Step 4: Simplify right side
    116,911x = 63,536,764,225
  5. Step 5: Solve for x
    x = 63,536,764,225/116,911
  6. Step 6: Final answer
    x = 543,462.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.