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Finding the Third Proportional to 47,742 and 112,299

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Solution

The third proportional to 47,742 and 112,299 is: 264,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,742 : 112,299 = 112,299 : x
  2. Step 2: Convert to fraction form
    47,742/112,299 = 112,299/x
  3. Step 3: Cross multiply
    47,742x = 112,299 × 112,299
  4. Step 4: Simplify right side
    47,742x = 12,611,065,401
  5. Step 5: Solve for x
    x = 12,611,065,401/47,742
  6. Step 6: Final answer
    x = 264,150.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.