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Finding the Third Proportional to 48,681 and 104,743.13

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Solution

The third proportional to 48,681 and 104,743.13 is: 225,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,681 : 104,743.13 = 104,743.13 : x
  2. Step 2: Convert to fraction form
    48,681/104,743.13 = 104,743.13/x
  3. Step 3: Cross multiply
    48,681x = 104,743.13 × 104,743.13
  4. Step 4: Simplify right side
    48,681x = 10,971,122,234.77
  5. Step 5: Solve for x
    x = 10,971,122,234.77/48,681
  6. Step 6: Final answer
    x = 225,367.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.