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Finding the Third Proportional to 110,709 and 176,247

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Solution

The third proportional to 110,709 and 176,247 is: 280,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,709 : 176,247 = 176,247 : x
  2. Step 2: Convert to fraction form
    110,709/176,247 = 176,247/x
  3. Step 3: Cross multiply
    110,709x = 176,247 × 176,247
  4. Step 4: Simplify right side
    110,709x = 31,063,005,009
  5. Step 5: Solve for x
    x = 31,063,005,009/110,709
  6. Step 6: Final answer
    x = 280,582.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.