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Finding the Third Proportional to 49,989.75 and 118,008

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Solution

The third proportional to 49,989.75 and 118,008 is: 278,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,989.75 : 118,008 = 118,008 : x
  2. Step 2: Convert to fraction form
    49,989.75/118,008 = 118,008/x
  3. Step 3: Cross multiply
    49,989.75x = 118,008 × 118,008
  4. Step 4: Simplify right side
    49,989.75x = 13,925,888,064
  5. Step 5: Solve for x
    x = 13,925,888,064/49,989.75
  6. Step 6: Final answer
    x = 278,574.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.