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Finding the Third Proportional to 42,942 and 94,017

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Solution

The third proportional to 42,942 and 94,017 is: 205,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,942 : 94,017 = 94,017 : x
  2. Step 2: Convert to fraction form
    42,942/94,017 = 94,017/x
  3. Step 3: Cross multiply
    42,942x = 94,017 × 94,017
  4. Step 4: Simplify right side
    42,942x = 8,839,196,289
  5. Step 5: Solve for x
    x = 8,839,196,289/42,942
  6. Step 6: Final answer
    x = 205,840.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.