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Finding the Third Proportional to 101,756 and 221,026

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Solution

The third proportional to 101,756 and 221,026 is: 480,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,756 : 221,026 = 221,026 : x
  2. Step 2: Convert to fraction form
    101,756/221,026 = 221,026/x
  3. Step 3: Cross multiply
    101,756x = 221,026 × 221,026
  4. Step 4: Simplify right side
    101,756x = 48,852,492,676
  5. Step 5: Solve for x
    x = 48,852,492,676/101,756
  6. Step 6: Final answer
    x = 480,094.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.