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Finding the Third Proportional to 64,213 and 100,727.75

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Solution

The third proportional to 64,213 and 100,727.75 is: 158,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,213 : 100,727.75 = 100,727.75 : x
  2. Step 2: Convert to fraction form
    64,213/100,727.75 = 100,727.75/x
  3. Step 3: Cross multiply
    64,213x = 100,727.75 × 100,727.75
  4. Step 4: Simplify right side
    64,213x = 10,146,079,620.06
  5. Step 5: Solve for x
    x = 10,146,079,620.06/64,213
  6. Step 6: Final answer
    x = 158,006.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.