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Finding the Third Proportional to 48,298 and 102,410

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Solution

The third proportional to 48,298 and 102,410 is: 217,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,298 : 102,410 = 102,410 : x
  2. Step 2: Convert to fraction form
    48,298/102,410 = 102,410/x
  3. Step 3: Cross multiply
    48,298x = 102,410 × 102,410
  4. Step 4: Simplify right side
    48,298x = 10,487,808,100
  5. Step 5: Solve for x
    x = 10,487,808,100/48,298
  6. Step 6: Final answer
    x = 217,147.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.