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Finding the Third Proportional to 42,855 and 93,081

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Solution

The third proportional to 42,855 and 93,081 is: 202,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,855 : 93,081 = 93,081 : x
  2. Step 2: Convert to fraction form
    42,855/93,081 = 93,081/x
  3. Step 3: Cross multiply
    42,855x = 93,081 × 93,081
  4. Step 4: Simplify right side
    42,855x = 8,664,072,561
  5. Step 5: Solve for x
    x = 8,664,072,561/42,855
  6. Step 6: Final answer
    x = 202,171.80

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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.