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Finding the Third Proportional to 110,703 and 176,237

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Solution

The third proportional to 110,703 and 176,237 is: 280,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,703 : 176,237 = 176,237 : x
  2. Step 2: Convert to fraction form
    110,703/176,237 = 176,237/x
  3. Step 3: Cross multiply
    110,703x = 176,237 × 176,237
  4. Step 4: Simplify right side
    110,703x = 31,059,480,169
  5. Step 5: Solve for x
    x = 31,059,480,169/110,703
  6. Step 6: Final answer
    x = 280,565.84

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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.