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Finding the Third Proportional to 50,451.13 and 107,051.88

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Solution

The third proportional to 50,451.13 and 107,051.88 is: 227,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,451.13 : 107,051.88 = 107,051.88 : x
  2. Step 2: Convert to fraction form
    50,451.13/107,051.88 = 107,051.88/x
  3. Step 3: Cross multiply
    50,451.13x = 107,051.88 × 107,051.88
  4. Step 4: Simplify right side
    50,451.13x = 11,460,103,941.02
  5. Step 5: Solve for x
    x = 11,460,103,941.02/50,451.13
  6. Step 6: Final answer
    x = 227,152.59

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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.