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Finding the Third Proportional to 50,141.53 and 109,279.13

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Solution

The third proportional to 50,141.53 and 109,279.13 is: 238,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,141.53 : 109,279.13 = 109,279.13 : x
  2. Step 2: Convert to fraction form
    50,141.53/109,279.13 = 109,279.13/x
  3. Step 3: Cross multiply
    50,141.53x = 109,279.13 × 109,279.13
  4. Step 4: Simplify right side
    50,141.53x = 11,941,927,160.77
  5. Step 5: Solve for x
    x = 11,941,927,160.77/50,141.53
  6. Step 6: Final answer
    x = 238,164.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.