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Finding the Third Proportional to 48,148 and 103,909

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Solution

The third proportional to 48,148 and 103,909 is: 224,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,148 : 103,909 = 103,909 : x
  2. Step 2: Convert to fraction form
    48,148/103,909 = 103,909/x
  3. Step 3: Cross multiply
    48,148x = 103,909 × 103,909
  4. Step 4: Simplify right side
    48,148x = 10,797,080,281
  5. Step 5: Solve for x
    x = 10,797,080,281/48,148
  6. Step 6: Final answer
    x = 224,247.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.