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Finding the Third Proportional to 42,857 and 93,085

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Solution

The third proportional to 42,857 and 93,085 is: 202,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857 : 93,085 = 93,085 : x
  2. Step 2: Convert to fraction form
    42,857/93,085 = 93,085/x
  3. Step 3: Cross multiply
    42,857x = 93,085 × 93,085
  4. Step 4: Simplify right side
    42,857x = 8,664,817,225
  5. Step 5: Solve for x
    x = 8,664,817,225/42,857
  6. Step 6: Final answer
    x = 202,179.74

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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.