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Finding the Third Proportional to 113,708 and 174,039

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Solution

The third proportional to 113,708 and 174,039 is: 266,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,708 : 174,039 = 174,039 : x
  2. Step 2: Convert to fraction form
    113,708/174,039 = 174,039/x
  3. Step 3: Cross multiply
    113,708x = 174,039 × 174,039
  4. Step 4: Simplify right side
    113,708x = 30,289,573,521
  5. Step 5: Solve for x
    x = 30,289,573,521/113,708
  6. Step 6: Final answer
    x = 266,380.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.