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Finding the Third Proportional to 64,184 and 143,126

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Solution

The third proportional to 64,184 and 143,126 is: 319,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,184 : 143,126 = 143,126 : x
  2. Step 2: Convert to fraction form
    64,184/143,126 = 143,126/x
  3. Step 3: Cross multiply
    64,184x = 143,126 × 143,126
  4. Step 4: Simplify right side
    64,184x = 20,485,051,876
  5. Step 5: Solve for x
    x = 20,485,051,876/64,184
  6. Step 6: Final answer
    x = 319,161.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.