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Finding the Third Proportional to 64,219 and 102,275

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Solution

The third proportional to 64,219 and 102,275 is: 162,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,219 : 102,275 = 102,275 : x
  2. Step 2: Convert to fraction form
    64,219/102,275 = 102,275/x
  3. Step 3: Cross multiply
    64,219x = 102,275 × 102,275
  4. Step 4: Simplify right side
    64,219x = 10,460,175,625
  5. Step 5: Solve for x
    x = 10,460,175,625/64,219
  6. Step 6: Final answer
    x = 162,882.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.