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Finding the Third Proportional to 79,511 and 111,445

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Solution

The third proportional to 79,511 and 111,445 is: 156,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,511 : 111,445 = 111,445 : x
  2. Step 2: Convert to fraction form
    79,511/111,445 = 111,445/x
  3. Step 3: Cross multiply
    79,511x = 111,445 × 111,445
  4. Step 4: Simplify right side
    79,511x = 12,419,988,025
  5. Step 5: Solve for x
    x = 12,419,988,025/79,511
  6. Step 6: Final answer
    x = 156,204.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.