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Finding the Third Proportional to 42,855 and 92,838

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Solution

The third proportional to 42,855 and 92,838 is: 201,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,855 : 92,838 = 92,838 : x
  2. Step 2: Convert to fraction form
    42,855/92,838 = 92,838/x
  3. Step 3: Cross multiply
    42,855x = 92,838 × 92,838
  4. Step 4: Simplify right side
    42,855x = 8,618,894,244
  5. Step 5: Solve for x
    x = 8,618,894,244/42,855
  6. Step 6: Final answer
    x = 201,117.59

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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.