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Finding the Third Proportional to 51,874.88 and 106,575.75

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Solution

The third proportional to 51,874.88 and 106,575.75 is: 218,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874.88 : 106,575.75 = 106,575.75 : x
  2. Step 2: Convert to fraction form
    51,874.88/106,575.75 = 106,575.75/x
  3. Step 3: Cross multiply
    51,874.88x = 106,575.75 × 106,575.75
  4. Step 4: Simplify right side
    51,874.88x = 11,358,390,488.06
  5. Step 5: Solve for x
    x = 11,358,390,488.06/51,874.88
  6. Step 6: Final answer
    x = 218,957.45

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.