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Finding the Third Proportional to 111,065 and 158,291

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Solution

The third proportional to 111,065 and 158,291 is: 225,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,065 : 158,291 = 158,291 : x
  2. Step 2: Convert to fraction form
    111,065/158,291 = 158,291/x
  3. Step 3: Cross multiply
    111,065x = 158,291 × 158,291
  4. Step 4: Simplify right side
    111,065x = 25,056,040,681
  5. Step 5: Solve for x
    x = 25,056,040,681/111,065
  6. Step 6: Final answer
    x = 225,597.99

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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.