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Finding the Third Proportional to 120,071.43 and 253,982.46

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Solution

The third proportional to 120,071.43 and 253,982.46 is: 537,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,071.43 : 253,982.46 = 253,982.46 : x
  2. Step 2: Convert to fraction form
    120,071.43/253,982.46 = 253,982.46/x
  3. Step 3: Cross multiply
    120,071.43x = 253,982.46 × 253,982.46
  4. Step 4: Simplify right side
    120,071.43x = 64,507,090,463.87
  5. Step 5: Solve for x
    x = 64,507,090,463.87/120,071.43
  6. Step 6: Final answer
    x = 537,239.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.