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Finding the Third Proportional to 51,637.50 and 109,425.94

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Solution

The third proportional to 51,637.50 and 109,425.94 is: 231,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,637.50 : 109,425.94 = 109,425.94 : x
  2. Step 2: Convert to fraction form
    51,637.50/109,425.94 = 109,425.94/x
  3. Step 3: Cross multiply
    51,637.50x = 109,425.94 × 109,425.94
  4. Step 4: Simplify right side
    51,637.50x = 11,974,035,797.75
  5. Step 5: Solve for x
    x = 11,974,035,797.75/51,637.50
  6. Step 6: Final answer
    x = 231,886.44

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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.