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Finding the Third Proportional to 103,496 and 221,752

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Solution

The third proportional to 103,496 and 221,752 is: 475,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,496 : 221,752 = 221,752 : x
  2. Step 2: Convert to fraction form
    103,496/221,752 = 221,752/x
  3. Step 3: Cross multiply
    103,496x = 221,752 × 221,752
  4. Step 4: Simplify right side
    103,496x = 49,173,949,504
  5. Step 5: Solve for x
    x = 49,173,949,504/103,496
  6. Step 6: Final answer
    x = 475,128.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.