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Finding the Third Proportional to 114,593 and 174,857

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Solution

The third proportional to 114,593 and 174,857 is: 266,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,593 : 174,857 = 174,857 : x
  2. Step 2: Convert to fraction form
    114,593/174,857 = 174,857/x
  3. Step 3: Cross multiply
    114,593x = 174,857 × 174,857
  4. Step 4: Simplify right side
    114,593x = 30,574,970,449
  5. Step 5: Solve for x
    x = 30,574,970,449/114,593
  6. Step 6: Final answer
    x = 266,813.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.