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Finding the Third Proportional to 75,027 and 162,509.63

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Solution

The third proportional to 75,027 and 162,509.63 is: 351,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,027 : 162,509.63 = 162,509.63 : x
  2. Step 2: Convert to fraction form
    75,027/162,509.63 = 162,509.63/x
  3. Step 3: Cross multiply
    75,027x = 162,509.63 × 162,509.63
  4. Step 4: Simplify right side
    75,027x = 26,409,378,217.64
  5. Step 5: Solve for x
    x = 26,409,378,217.64/75,027
  6. Step 6: Final answer
    x = 351,998.32

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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.