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Finding the Third Proportional to 51,476 and 112,429

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Solution

The third proportional to 51,476 and 112,429 is: 245,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,476 : 112,429 = 112,429 : x
  2. Step 2: Convert to fraction form
    51,476/112,429 = 112,429/x
  3. Step 3: Cross multiply
    51,476x = 112,429 × 112,429
  4. Step 4: Simplify right side
    51,476x = 12,640,280,041
  5. Step 5: Solve for x
    x = 12,640,280,041/51,476
  6. Step 6: Final answer
    x = 245,556.77

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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.