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Finding the Third Proportional to 118,977 and 158,607

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Solution

The third proportional to 118,977 and 158,607 is: 211,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,977 : 158,607 = 158,607 : x
  2. Step 2: Convert to fraction form
    118,977/158,607 = 158,607/x
  3. Step 3: Cross multiply
    118,977x = 158,607 × 158,607
  4. Step 4: Simplify right side
    118,977x = 25,156,180,449
  5. Step 5: Solve for x
    x = 25,156,180,449/118,977
  6. Step 6: Final answer
    x = 211,437.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.