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Finding the Third Proportional to 76,481 and 85,093

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Solution

The third proportional to 76,481 and 85,093 is: 94,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,481 : 85,093 = 85,093 : x
  2. Step 2: Convert to fraction form
    76,481/85,093 = 85,093/x
  3. Step 3: Cross multiply
    76,481x = 85,093 × 85,093
  4. Step 4: Simplify right side
    76,481x = 7,240,818,649
  5. Step 5: Solve for x
    x = 7,240,818,649/76,481
  6. Step 6: Final answer
    x = 94,674.74

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.