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Finding the Third Proportional to 73,170 and 99,380

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Solution

The third proportional to 73,170 and 99,380 is: 134,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,170 : 99,380 = 99,380 : x
  2. Step 2: Convert to fraction form
    73,170/99,380 = 99,380/x
  3. Step 3: Cross multiply
    73,170x = 99,380 × 99,380
  4. Step 4: Simplify right side
    73,170x = 9,876,384,400
  5. Step 5: Solve for x
    x = 9,876,384,400/73,170
  6. Step 6: Final answer
    x = 134,978.60

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.