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Finding the Third Proportional to 51,192 and 104,935.50

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Solution

The third proportional to 51,192 and 104,935.50 is: 215,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,192 : 104,935.50 = 104,935.50 : x
  2. Step 2: Convert to fraction form
    51,192/104,935.50 = 104,935.50/x
  3. Step 3: Cross multiply
    51,192x = 104,935.50 × 104,935.50
  4. Step 4: Simplify right side
    51,192x = 11,011,459,160.25
  5. Step 5: Solve for x
    x = 11,011,459,160.25/51,192
  6. Step 6: Final answer
    x = 215,101.17

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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.