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Finding the Third Proportional to 51,921 and 112,095

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Solution

The third proportional to 51,921 and 112,095 is: 242,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,921 : 112,095 = 112,095 : x
  2. Step 2: Convert to fraction form
    51,921/112,095 = 112,095/x
  3. Step 3: Cross multiply
    51,921x = 112,095 × 112,095
  4. Step 4: Simplify right side
    51,921x = 12,565,289,025
  5. Step 5: Solve for x
    x = 12,565,289,025/51,921
  6. Step 6: Final answer
    x = 242,007.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.