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Finding the Third Proportional to 42,340 and 91,376

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Solution

The third proportional to 42,340 and 91,376 is: 197,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,340 : 91,376 = 91,376 : x
  2. Step 2: Convert to fraction form
    42,340/91,376 = 91,376/x
  3. Step 3: Cross multiply
    42,340x = 91,376 × 91,376
  4. Step 4: Simplify right side
    42,340x = 8,349,573,376
  5. Step 5: Solve for x
    x = 8,349,573,376/42,340
  6. Step 6: Final answer
    x = 197,202.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.