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Finding the Third Proportional to 101,756 and 221,594

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Solution

The third proportional to 101,756 and 221,594 is: 482,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,756 : 221,594 = 221,594 : x
  2. Step 2: Convert to fraction form
    101,756/221,594 = 221,594/x
  3. Step 3: Cross multiply
    101,756x = 221,594 × 221,594
  4. Step 4: Simplify right side
    101,756x = 49,103,900,836
  5. Step 5: Solve for x
    x = 49,103,900,836/101,756
  6. Step 6: Final answer
    x = 482,565.16

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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.