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Finding the Third Proportional to 114,002.25 and 171,063.75

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Solution

The third proportional to 114,002.25 and 171,063.75 is: 256,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,002.25 : 171,063.75 = 171,063.75 : x
  2. Step 2: Convert to fraction form
    114,002.25/171,063.75 = 171,063.75/x
  3. Step 3: Cross multiply
    114,002.25x = 171,063.75 × 171,063.75
  4. Step 4: Simplify right side
    114,002.25x = 29,262,806,564.06
  5. Step 5: Solve for x
    x = 29,262,806,564.06/114,002.25
  6. Step 6: Final answer
    x = 256,686.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.