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Finding the Third Proportional to 49,086 and 104,014.13

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Solution

The third proportional to 49,086 and 104,014.13 is: 220,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,086 : 104,014.13 = 104,014.13 : x
  2. Step 2: Convert to fraction form
    49,086/104,014.13 = 104,014.13/x
  3. Step 3: Cross multiply
    49,086x = 104,014.13 × 104,014.13
  4. Step 4: Simplify right side
    49,086x = 10,818,938,199.52
  5. Step 5: Solve for x
    x = 10,818,938,199.52/49,086
  6. Step 6: Final answer
    x = 220,407.82

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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.