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Finding the Third Proportional to 70,543 and 109,274

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Solution

The third proportional to 70,543 and 109,274 is: 169,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,543 : 109,274 = 109,274 : x
  2. Step 2: Convert to fraction form
    70,543/109,274 = 109,274/x
  3. Step 3: Cross multiply
    70,543x = 109,274 × 109,274
  4. Step 4: Simplify right side
    70,543x = 11,940,807,076
  5. Step 5: Solve for x
    x = 11,940,807,076/70,543
  6. Step 6: Final answer
    x = 169,269.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.