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Finding the Third Proportional to 64,142 and 95,529

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Solution

The third proportional to 64,142 and 95,529 is: 142,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,142 : 95,529 = 95,529 : x
  2. Step 2: Convert to fraction form
    64,142/95,529 = 95,529/x
  3. Step 3: Cross multiply
    64,142x = 95,529 × 95,529
  4. Step 4: Simplify right side
    64,142x = 9,125,789,841
  5. Step 5: Solve for x
    x = 9,125,789,841/64,142
  6. Step 6: Final answer
    x = 142,274.79

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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.