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Finding the Third Proportional to 75,014.23 and 163,509.26

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Solution

The third proportional to 75,014.23 and 163,509.26 is: 356,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,014.23 : 163,509.26 = 163,509.26 : x
  2. Step 2: Convert to fraction form
    75,014.23/163,509.26 = 163,509.26/x
  3. Step 3: Cross multiply
    75,014.23x = 163,509.26 × 163,509.26
  4. Step 4: Simplify right side
    75,014.23x = 26,735,277,390.39
  5. Step 5: Solve for x
    x = 26,735,277,390.39/75,014.23
  6. Step 6: Final answer
    x = 356,402.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.