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Finding the Third Proportional to 48,435 and 105,540

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Solution

The third proportional to 48,435 and 105,540 is: 229,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,435 : 105,540 = 105,540 : x
  2. Step 2: Convert to fraction form
    48,435/105,540 = 105,540/x
  3. Step 3: Cross multiply
    48,435x = 105,540 × 105,540
  4. Step 4: Simplify right side
    48,435x = 11,138,691,600
  5. Step 5: Solve for x
    x = 11,138,691,600/48,435
  6. Step 6: Final answer
    x = 229,971.95

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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.