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Finding the Third Proportional to 49,446.50 and 76,705.50

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Solution

The third proportional to 49,446.50 and 76,705.50 is: 118,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,446.50 : 76,705.50 = 76,705.50 : x
  2. Step 2: Convert to fraction form
    49,446.50/76,705.50 = 76,705.50/x
  3. Step 3: Cross multiply
    49,446.50x = 76,705.50 × 76,705.50
  4. Step 4: Simplify right side
    49,446.50x = 5,883,733,730.25
  5. Step 5: Solve for x
    x = 5,883,733,730.25/49,446.50
  6. Step 6: Final answer
    x = 118,991.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.