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Finding the Third Proportional to 116,262 and 175,247

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Solution

The third proportional to 116,262 and 175,247 is: 264,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,262 : 175,247 = 175,247 : x
  2. Step 2: Convert to fraction form
    116,262/175,247 = 175,247/x
  3. Step 3: Cross multiply
    116,262x = 175,247 × 175,247
  4. Step 4: Simplify right side
    116,262x = 30,711,511,009
  5. Step 5: Solve for x
    x = 30,711,511,009/116,262
  6. Step 6: Final answer
    x = 264,157.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.