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Finding the Third Proportional to 118,638 and 139,551.75

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Solution

The third proportional to 118,638 and 139,551.75 is: 164,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,638 : 139,551.75 = 139,551.75 : x
  2. Step 2: Convert to fraction form
    118,638/139,551.75 = 139,551.75/x
  3. Step 3: Cross multiply
    118,638x = 139,551.75 × 139,551.75
  4. Step 4: Simplify right side
    118,638x = 19,474,690,928.06
  5. Step 5: Solve for x
    x = 19,474,690,928.06/118,638
  6. Step 6: Final answer
    x = 164,152.22

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.