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Finding the Third Proportional to 42,850 and 92,827

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Solution

The third proportional to 42,850 and 92,827 is: 201,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,850 : 92,827 = 92,827 : x
  2. Step 2: Convert to fraction form
    42,850/92,827 = 92,827/x
  3. Step 3: Cross multiply
    42,850x = 92,827 × 92,827
  4. Step 4: Simplify right side
    42,850x = 8,616,851,929
  5. Step 5: Solve for x
    x = 8,616,851,929/42,850
  6. Step 6: Final answer
    x = 201,093.39

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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.