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Finding the Third Proportional to 75,366 and 156,933.98

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Solution

The third proportional to 75,366 and 156,933.98 is: 326,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,366 : 156,933.98 = 156,933.98 : x
  2. Step 2: Convert to fraction form
    75,366/156,933.98 = 156,933.98/x
  3. Step 3: Cross multiply
    75,366x = 156,933.98 × 156,933.98
  4. Step 4: Simplify right side
    75,366x = 24,628,275,451.81
  5. Step 5: Solve for x
    x = 24,628,275,451.81/75,366
  6. Step 6: Final answer
    x = 326,782.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.