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Finding the Third Proportional to 75,015.56 and 162,743.06

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Solution

The third proportional to 75,015.56 and 162,743.06 is: 353,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,015.56 : 162,743.06 = 162,743.06 : x
  2. Step 2: Convert to fraction form
    75,015.56/162,743.06 = 162,743.06/x
  3. Step 3: Cross multiply
    75,015.56x = 162,743.06 × 162,743.06
  4. Step 4: Simplify right side
    75,015.56x = 26,485,304,391.88
  5. Step 5: Solve for x
    x = 26,485,304,391.88/75,015.56
  6. Step 6: Final answer
    x = 353,064.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.