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Finding the Third Proportional to 85,907 and 93,695

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Solution

The third proportional to 85,907 and 93,695 is: 102,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,907 : 93,695 = 93,695 : x
  2. Step 2: Convert to fraction form
    85,907/93,695 = 93,695/x
  3. Step 3: Cross multiply
    85,907x = 93,695 × 93,695
  4. Step 4: Simplify right side
    85,907x = 8,778,753,025
  5. Step 5: Solve for x
    x = 8,778,753,025/85,907
  6. Step 6: Final answer
    x = 102,189.03

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.