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Finding the Third Proportional to 118,671.75 and 182,655

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Solution

The third proportional to 118,671.75 and 182,655 is: 281,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,671.75 : 182,655 = 182,655 : x
  2. Step 2: Convert to fraction form
    118,671.75/182,655 = 182,655/x
  3. Step 3: Cross multiply
    118,671.75x = 182,655 × 182,655
  4. Step 4: Simplify right side
    118,671.75x = 33,362,849,025
  5. Step 5: Solve for x
    x = 33,362,849,025/118,671.75
  6. Step 6: Final answer
    x = 281,135.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.