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Finding the Third Proportional to 104,827.50 and 148,185

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Solution

The third proportional to 104,827.50 and 148,185 is: 209,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,827.50 : 148,185 = 148,185 : x
  2. Step 2: Convert to fraction form
    104,827.50/148,185 = 148,185/x
  3. Step 3: Cross multiply
    104,827.50x = 148,185 × 148,185
  4. Step 4: Simplify right side
    104,827.50x = 21,958,794,225
  5. Step 5: Solve for x
    x = 21,958,794,225/104,827.50
  6. Step 6: Final answer
    x = 209,475.51

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.