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Finding the Third Proportional to 112,977 and 245,631

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Solution

The third proportional to 112,977 and 245,631 is: 534,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,977 : 245,631 = 245,631 : x
  2. Step 2: Convert to fraction form
    112,977/245,631 = 245,631/x
  3. Step 3: Cross multiply
    112,977x = 245,631 × 245,631
  4. Step 4: Simplify right side
    112,977x = 60,334,588,161
  5. Step 5: Solve for x
    x = 60,334,588,161/112,977
  6. Step 6: Final answer
    x = 534,043.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.