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Finding the Third Proportional to 76,046 and 111,093

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Solution

The third proportional to 76,046 and 111,093 is: 162,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,046 : 111,093 = 111,093 : x
  2. Step 2: Convert to fraction form
    76,046/111,093 = 111,093/x
  3. Step 3: Cross multiply
    76,046x = 111,093 × 111,093
  4. Step 4: Simplify right side
    76,046x = 12,341,654,649
  5. Step 5: Solve for x
    x = 12,341,654,649/76,046
  6. Step 6: Final answer
    x = 162,291.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.