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Finding the Third Proportional to 75,216.94 and 163,400.63

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Solution

The third proportional to 75,216.94 and 163,400.63 is: 354,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216.94 : 163,400.63 = 163,400.63 : x
  2. Step 2: Convert to fraction form
    75,216.94/163,400.63 = 163,400.63/x
  3. Step 3: Cross multiply
    75,216.94x = 163,400.63 × 163,400.63
  4. Step 4: Simplify right side
    75,216.94x = 26,699,764,250.39
  5. Step 5: Solve for x
    x = 26,699,764,250.39/75,216.94
  6. Step 6: Final answer
    x = 354,970.11

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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.