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Finding the Third Proportional to 42,942 and 94,434

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Solution

The third proportional to 42,942 and 94,434 is: 207,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,942 : 94,434 = 94,434 : x
  2. Step 2: Convert to fraction form
    42,942/94,434 = 94,434/x
  3. Step 3: Cross multiply
    42,942x = 94,434 × 94,434
  4. Step 4: Simplify right side
    42,942x = 8,917,780,356
  5. Step 5: Solve for x
    x = 8,917,780,356/42,942
  6. Step 6: Final answer
    x = 207,670.35

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