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Finding the Third Proportional to 114,078 and 175,569

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Solution

The third proportional to 114,078 and 175,569 is: 270,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,078 : 175,569 = 175,569 : x
  2. Step 2: Convert to fraction form
    114,078/175,569 = 175,569/x
  3. Step 3: Cross multiply
    114,078x = 175,569 × 175,569
  4. Step 4: Simplify right side
    114,078x = 30,824,473,761
  5. Step 5: Solve for x
    x = 30,824,473,761/114,078
  6. Step 6: Final answer
    x = 270,205.24

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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.