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Finding the Third Proportional to 48,286 and 103,420

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Solution

The third proportional to 48,286 and 103,420 is: 221,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,286 : 103,420 = 103,420 : x
  2. Step 2: Convert to fraction form
    48,286/103,420 = 103,420/x
  3. Step 3: Cross multiply
    48,286x = 103,420 × 103,420
  4. Step 4: Simplify right side
    48,286x = 10,695,696,400
  5. Step 5: Solve for x
    x = 10,695,696,400/48,286
  6. Step 6: Final answer
    x = 221,507.19

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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.