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Finding the Third Proportional to 41,972 and 90,156

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Solution

The third proportional to 41,972 and 90,156 is: 193,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,972 : 90,156 = 90,156 : x
  2. Step 2: Convert to fraction form
    41,972/90,156 = 90,156/x
  3. Step 3: Cross multiply
    41,972x = 90,156 × 90,156
  4. Step 4: Simplify right side
    41,972x = 8,128,104,336
  5. Step 5: Solve for x
    x = 8,128,104,336/41,972
  6. Step 6: Final answer
    x = 193,655.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.