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Finding the Third Proportional to 48,419 and 105,598

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Solution

The third proportional to 48,419 and 105,598 is: 230,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,419 : 105,598 = 105,598 : x
  2. Step 2: Convert to fraction form
    48,419/105,598 = 105,598/x
  3. Step 3: Cross multiply
    48,419x = 105,598 × 105,598
  4. Step 4: Simplify right side
    48,419x = 11,150,937,604
  5. Step 5: Solve for x
    x = 11,150,937,604/48,419
  6. Step 6: Final answer
    x = 230,300.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.