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Finding the Third Proportional to 45,432 and 92,703

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Solution

The third proportional to 45,432 and 92,703 is: 189,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,432 : 92,703 = 92,703 : x
  2. Step 2: Convert to fraction form
    45,432/92,703 = 92,703/x
  3. Step 3: Cross multiply
    45,432x = 92,703 × 92,703
  4. Step 4: Simplify right side
    45,432x = 8,593,846,209
  5. Step 5: Solve for x
    x = 8,593,846,209/45,432
  6. Step 6: Final answer
    x = 189,158.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.