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Finding the Third Proportional to 114,453 and 174,021.75

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Solution

The third proportional to 114,453 and 174,021.75 is: 264,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,453 : 174,021.75 = 174,021.75 : x
  2. Step 2: Convert to fraction form
    114,453/174,021.75 = 174,021.75/x
  3. Step 3: Cross multiply
    114,453x = 174,021.75 × 174,021.75
  4. Step 4: Simplify right side
    114,453x = 30,283,569,473.06
  5. Step 5: Solve for x
    x = 30,283,569,473.06/114,453
  6. Step 6: Final answer
    x = 264,593.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.