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Finding the Third Proportional to 76,703 and 116,243

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Solution

The third proportional to 76,703 and 116,243 is: 176,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,703 : 116,243 = 116,243 : x
  2. Step 2: Convert to fraction form
    76,703/116,243 = 116,243/x
  3. Step 3: Cross multiply
    76,703x = 116,243 × 116,243
  4. Step 4: Simplify right side
    76,703x = 13,512,435,049
  5. Step 5: Solve for x
    x = 13,512,435,049/76,703
  6. Step 6: Final answer
    x = 176,165.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.