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Finding the Third Proportional to 57,644 and 118,135

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Solution

The third proportional to 57,644 and 118,135 is: 242,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,644 : 118,135 = 118,135 : x
  2. Step 2: Convert to fraction form
    57,644/118,135 = 118,135/x
  3. Step 3: Cross multiply
    57,644x = 118,135 × 118,135
  4. Step 4: Simplify right side
    57,644x = 13,955,878,225
  5. Step 5: Solve for x
    x = 13,955,878,225/57,644
  6. Step 6: Final answer
    x = 242,104.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.