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Finding the Third Proportional to 43,642 and 93,115

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Solution

The third proportional to 43,642 and 93,115 is: 198,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,642 : 93,115 = 93,115 : x
  2. Step 2: Convert to fraction form
    43,642/93,115 = 93,115/x
  3. Step 3: Cross multiply
    43,642x = 93,115 × 93,115
  4. Step 4: Simplify right side
    43,642x = 8,670,403,225
  5. Step 5: Solve for x
    x = 8,670,403,225/43,642
  6. Step 6: Final answer
    x = 198,671.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.