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Finding the Third Proportional to 51,413 and 112,165

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Solution

The third proportional to 51,413 and 112,165 is: 244,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,413 : 112,165 = 112,165 : x
  2. Step 2: Convert to fraction form
    51,413/112,165 = 112,165/x
  3. Step 3: Cross multiply
    51,413x = 112,165 × 112,165
  4. Step 4: Simplify right side
    51,413x = 12,580,987,225
  5. Step 5: Solve for x
    x = 12,580,987,225/51,413
  6. Step 6: Final answer
    x = 244,704.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.