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Finding the Third Proportional to 64,210 and 95,635

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Solution

The third proportional to 64,210 and 95,635 is: 142,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,210 : 95,635 = 95,635 : x
  2. Step 2: Convert to fraction form
    64,210/95,635 = 95,635/x
  3. Step 3: Cross multiply
    64,210x = 95,635 × 95,635
  4. Step 4: Simplify right side
    64,210x = 9,146,053,225
  5. Step 5: Solve for x
    x = 9,146,053,225/64,210
  6. Step 6: Final answer
    x = 142,439.70

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