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Finding the Third Proportional to 63,744 and 95,184

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Solution

The third proportional to 63,744 and 95,184 is: 142,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,744 : 95,184 = 95,184 : x
  2. Step 2: Convert to fraction form
    63,744/95,184 = 95,184/x
  3. Step 3: Cross multiply
    63,744x = 95,184 × 95,184
  4. Step 4: Simplify right side
    63,744x = 9,059,993,856
  5. Step 5: Solve for x
    x = 9,059,993,856/63,744
  6. Step 6: Final answer
    x = 142,130.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.