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Finding the Third Proportional to 42,356 and 92,007

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Solution

The third proportional to 42,356 and 92,007 is: 199,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,356 : 92,007 = 92,007 : x
  2. Step 2: Convert to fraction form
    42,356/92,007 = 92,007/x
  3. Step 3: Cross multiply
    42,356x = 92,007 × 92,007
  4. Step 4: Simplify right side
    42,356x = 8,465,288,049
  5. Step 5: Solve for x
    x = 8,465,288,049/42,356
  6. Step 6: Final answer
    x = 199,860.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.