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Finding the Third Proportional to 51,402 and 112,122

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Solution

The third proportional to 51,402 and 112,122 is: 244,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402 : 112,122 = 112,122 : x
  2. Step 2: Convert to fraction form
    51,402/112,122 = 112,122/x
  3. Step 3: Cross multiply
    51,402x = 112,122 × 112,122
  4. Step 4: Simplify right side
    51,402x = 12,571,342,884
  5. Step 5: Solve for x
    x = 12,571,342,884/51,402
  6. Step 6: Final answer
    x = 244,569.14

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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.