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Finding the Third Proportional to 42,860 and 93,336

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Solution

The third proportional to 42,860 and 93,336 is: 203,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,860 : 93,336 = 93,336 : x
  2. Step 2: Convert to fraction form
    42,860/93,336 = 93,336/x
  3. Step 3: Cross multiply
    42,860x = 93,336 × 93,336
  4. Step 4: Simplify right side
    42,860x = 8,711,608,896
  5. Step 5: Solve for x
    x = 8,711,608,896/42,860
  6. Step 6: Final answer
    x = 203,257.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.