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Finding the Third Proportional to 112,977 and 243,462

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Solution

The third proportional to 112,977 and 243,462 is: 524,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,977 : 243,462 = 243,462 : x
  2. Step 2: Convert to fraction form
    112,977/243,462 = 243,462/x
  3. Step 3: Cross multiply
    112,977x = 243,462 × 243,462
  4. Step 4: Simplify right side
    112,977x = 59,273,745,444
  5. Step 5: Solve for x
    x = 59,273,745,444/112,977
  6. Step 6: Final answer
    x = 524,653.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.