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Finding the Third Proportional to 57,654 and 118,168

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Solution

The third proportional to 57,654 and 118,168 is: 242,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,654 : 118,168 = 118,168 : x
  2. Step 2: Convert to fraction form
    57,654/118,168 = 118,168/x
  3. Step 3: Cross multiply
    57,654x = 118,168 × 118,168
  4. Step 4: Simplify right side
    57,654x = 13,963,676,224
  5. Step 5: Solve for x
    x = 13,963,676,224/57,654
  6. Step 6: Final answer
    x = 242,197.87

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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.