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Finding the Third Proportional to 111,087.75 and 158,744.63

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Solution

The third proportional to 111,087.75 and 158,744.63 is: 226,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,087.75 : 158,744.63 = 158,744.63 : x
  2. Step 2: Convert to fraction form
    111,087.75/158,744.63 = 158,744.63/x
  3. Step 3: Cross multiply
    111,087.75x = 158,744.63 × 158,744.63
  4. Step 4: Simplify right side
    111,087.75x = 25,199,855,966.39
  5. Step 5: Solve for x
    x = 25,199,855,966.39/111,087.75
  6. Step 6: Final answer
    x = 226,846.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.