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Finding the Third Proportional to 84,405 and 131,215.50

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Solution

The third proportional to 84,405 and 131,215.50 is: 203,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,405 : 131,215.50 = 131,215.50 : x
  2. Step 2: Convert to fraction form
    84,405/131,215.50 = 131,215.50/x
  3. Step 3: Cross multiply
    84,405x = 131,215.50 × 131,215.50
  4. Step 4: Simplify right side
    84,405x = 17,217,507,440.25
  5. Step 5: Solve for x
    x = 17,217,507,440.25/84,405
  6. Step 6: Final answer
    x = 203,986.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.