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Finding the Third Proportional to 49,197.50 and 105,562

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Solution

The third proportional to 49,197.50 and 105,562 is: 226,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,197.50 : 105,562 = 105,562 : x
  2. Step 2: Convert to fraction form
    49,197.50/105,562 = 105,562/x
  3. Step 3: Cross multiply
    49,197.50x = 105,562 × 105,562
  4. Step 4: Simplify right side
    49,197.50x = 11,143,335,844
  5. Step 5: Solve for x
    x = 11,143,335,844/49,197.50
  6. Step 6: Final answer
    x = 226,502.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.