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Finding the Third Proportional to 42,966 and 94,396

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Solution

The third proportional to 42,966 and 94,396 is: 207,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,966 : 94,396 = 94,396 : x
  2. Step 2: Convert to fraction form
    42,966/94,396 = 94,396/x
  3. Step 3: Cross multiply
    42,966x = 94,396 × 94,396
  4. Step 4: Simplify right side
    42,966x = 8,910,604,816
  5. Step 5: Solve for x
    x = 8,910,604,816/42,966
  6. Step 6: Final answer
    x = 207,387.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.