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Finding the Third Proportional to 76,427 and 85,904

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Solution

The third proportional to 76,427 and 85,904 is: 96,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,427 : 85,904 = 85,904 : x
  2. Step 2: Convert to fraction form
    76,427/85,904 = 85,904/x
  3. Step 3: Cross multiply
    76,427x = 85,904 × 85,904
  4. Step 4: Simplify right side
    76,427x = 7,379,497,216
  5. Step 5: Solve for x
    x = 7,379,497,216/76,427
  6. Step 6: Final answer
    x = 96,556.15

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.