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Finding the Third Proportional to 113,145.75 and 155,859.75

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Solution

The third proportional to 113,145.75 and 155,859.75 is: 214,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,145.75 : 155,859.75 = 155,859.75 : x
  2. Step 2: Convert to fraction form
    113,145.75/155,859.75 = 155,859.75/x
  3. Step 3: Cross multiply
    113,145.75x = 155,859.75 × 155,859.75
  4. Step 4: Simplify right side
    113,145.75x = 24,292,261,670.06
  5. Step 5: Solve for x
    x = 24,292,261,670.06/113,145.75
  6. Step 6: Final answer
    x = 214,698.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.